Yao Yuqin; Huang Yehui; Wei Yuan; et al.
Some new integrable systems constructed from the bi-Hamiltonian systems with pure differential Hamiltonian operators
APPLIED MATHEMATICS AND COMPUTATION  Volume: 218   Issue: 2   Pages: 583-591   DOI: 10.1016/j.amc.2011.05.103   Published: SEP 15 2011

Xia Baoqiang; Zhou Ruguang
Conservation laws and symmetries for a nonholonomic deformed Volterra equation
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL  Volume: 44   Issue: 31     Article Number: 315203   DOI: 10.1088/1751-8113/44/31/315203   Published: AUG 5 2011

Gurses Metin; Pekcan Asli
2+1 KdV(N) equations
JOURNAL OF MATHEMATICAL PHYSICS  Volume: 52   Issue: 8     Article Number: 083516   DOI: 10.1063/1.3629528   Published: AUG 2011

Kundu A.
INTEGRABLE TWOFOLD HIERARCHY OF PERTURBED EQUATIONS AND APPLICATION TO OPTICAL SOLITON DYNAMICS
THEORETICAL AND MATHEMATICAL PHYSICS  Volume: 167   Issue: 3   Pages: 800-810   Published: JUN 2011

Tsamparlis Michael; Paliathanasis Andronikos
Two-dimensional dynamical systems which admit Lie and Noether symmetries
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL  Volume: 44   Issue: 17     Article Number: 175202   DOI: 10.1088/1751-8113/44/17/175202   Published: APR 29 2011

Carinena Jose F.; Araujo Javier de Lucas
SUPERPOSITION RULES AND SECOND-ORDER RICCATI EQUATIONS
JOURNAL OF GEOMETRIC MECHANICS  Volume: 3   Issue: 1   Pages: 1-22   DOI: 10.3934/jgm.2011.3.1   Published: MAR 2011

Tintareanu-Mircea Ovidiu
f-SYMBOLS, KILLING TENSORS AND CONSERVED BEL-TYPE CURRENTS
MODERN PHYSICS LETTERS A  Volume: 26   Issue: 5   Pages: 337-349   DOI: 10.1142/S0217732311034888   Published: FEB 20 2011

Sakovich Sergei
Singularity Analysis and Integrability of a Burgers-Type System of Foursov
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS  Volume: 7     Article Number: 002   DOI: 10.3842/SIGMA.2011.002   Published: 2011

Baldwin D. E.; Hereman W.
A symbolic algorithm for computing recursion operators of nonlinear partial differential equations
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS  Volume: 87   Issue: 5   Pages: 1094-1119   DOI: 10.1080/00207160903111592   Published: 2010

Nakpim Warisa; Meleshko Sergey V.
Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS  Volume: 6     Article Number: 051   DOI: 10.3842/SIGMA.2010.051   Published: 2010

Zayed EME, Gepreerl KA
New Applications of an Improved (G '/G)-expansion Method to Construct the Exact Solutions of Nonlinear PDEs
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION  Volume: 11   Issue: 4   Pages: 273-283    Published: APR 2010

Salas AH, Gomez CA, Frias BA
Computing Exact Solutions to a Generalized Lax-Sawada-Kotera-Ito Seventh-Order KdV Equation
MATHEMATICAL PROBLEMS IN ENGINEERING Article Number: 524567  Published: 2010

Zuo DF
A Super Generalization of KdV6 Equation
COMMUNICATIONS IN THEORETICAL PHYSICS   Volume: 54   Issue: 6   Pages: 962-964   Published: DEC 2010

Zhaqilao; Sirendaoreji
N-soliton solutions of the KdV6 and mKdV6 equations
JOURNAL OF MATHEMATICAL PHYSICS  Volume: 51   Issue: 11     Article Number: 113507   DOI: 10.1063/1.3514121   Published: NOV 2010

Gomez CA, Salas AH, Frias BA
Exact Solutions to KdV6 Equation by Using a New Approach of the Projective Riccati Equation Method
MATHEMATICAL PROBLEMS IN ENGINEERING Article Number: 797084  Published: 2010

Cordero-Soto Ricardo; Suazo Erwin; Suslov Sergei K.
Quantum integrals of motion for variable quadratic Hamiltonians
ANNALS OF PHYSICS  Volume: 325   Issue: 9   Pages: 1884-1912   DOI: 10.1016/j.aop.2010.02.020   Published: SEP 2010

Sahadevan R, Nalinidevi L
INTEGRABILITY OF CERTAIN DEFORMED NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS   Volume: 17   Issue: 3   Pages: 379-396   Published: SEP 2010

Zhou RG
The mixed Harry-Dym soliton hierarchy
NONLINEAR AND MODERN MATHEMATICAL PHYSICS  Book Series: AIP Conference Proceedings 
Volume: 1212   Pages: 170-174  Published:2010

Yao YQ, Zeng YB
The generalized Kupershmidt deformation for constructing new integrable systems from integrable bi-Hamiltonian systems
JOURNAL OF MATHEMATICAL PHYSICS   Volume: 51   Issue: 6 Article Number: 063503  Published: JUN 2010

Suslov Sergei K.
Dynamical invariants for variable quadratic Hamiltonians
PHYSICA SCRIPTA  Volume: 81   Issue: 5     Article Number: 055006   DOI: 10.1088/0031-8949/81/05/055006   Published: MAY 2010

Wang Deng-Shan
Integrability of a coupled KdV system: Painleve property, Lax pair and Backlund transformation
APPLIED MATHEMATICS AND COMPUTATION  Volume: 216   Issue: 4   Pages: 1349-1354   DOI: 10.1016/j.amc.2010.02.030   Published: APR 15 2010

Li JB, Zhang Y
The geometric property of soliton solutions for the integrable KdV6 equations
JOURNAL OF MATHEMATICAL PHYSICS   Volume: 51   Issue: 4 Article Number: 043508  Published: APR 2010

Cesar A. Gomez Sierra
New exact solutions for a generalization of the Korteweg–de Vries equation (KdV6)
APPLIED MATHEMATICS and COMPUTATION, Volume 216, Issue 1, Published:1 March 2010

Gurses Metin; Karasu Atalay; Turhan Refik
ON NON-COMMUTATIVE INTEGRABLE BURGERS EQUATIONS
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS  Volume: 17   Issue: 1   Pages: 1-6   DOI: 10.1142/S1402925110000532   Published: MAR 2010

Zhao JX, Conte R
A connection between HH3 and Korteweg–de Vries with one source
J. MATH. PHYS. 51, 033511 (2010)

Conde JM, Gordoa PR, Pickering A
Auto-Bäcklund transformations and integrability of ordinary and partial differential equations
J. MATH. PHYS. 51, 033512 (2010)

Anjan Kundu
Two-fold integrable hierarchy of nonholonomic deformation of the derivative nonlinear Schrödinger and the Lenells–Fokas equation
J. MATH. PHYS. 51, 022901 (2010)

Kersten PHM, Krasil'shchik IS, Verbovetsky AM, et al.
Integrability of Kupershmidt Deformations
ACTA APPLICANDAE MATHEMATICAE  Volume: 109   Issue: 1   Special Issue: Sp. Iss. SI   Pages: 75-86   Published: JAN 2010

Özlem Yeşiltaş
Factorization and Lie point symmetries of general Lienard-type equation in the complex plane
PHYSICA SCRIPTA 80, 055003 (2009)

Zhou RG
Mixed hierarchy of soliton equations
JOURNAL OF MATHEMATICAL PHYSICS  Volume: 50   Issue: 12 Article Number: 123502   Published: DEC 2009

Kundu A
Nonlinearizing linear equations to integrable systems including new hierarchies with nonholonomic deformations
JOURNAL OF MATHEMATICAL PHYSICS Volume: 50   Issue: 10 Article Number: 102702   Published: OCT 2009

Wu GC
Prolongation approach to Lax pairs and Backlund transformation of the variable coefficient KdV equation
CHAOS SOLITONS & FRACTALS   Volume: 42   Issue: 1   Pages: 408-411   Published: OCT 15 2009

Wang JP
Extension of integrable equations
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL  Volume: 42   Issue: 36 Article Number: 362004   Published: SEP 11 2009

Guha P
Nonholonomic deformation of generalized KdV-type equations
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL Volume: 42   Issue: 34 Article Number: 345201   Published: AUG 28 2009

Gui-qiong Xu
A note on the Painlevé test for nonlinear variable-coefficient PDEs
COMPUTER PHYSICS COMMUNICATIONS   Volume: 180   Issue: 7   Pages: 1137-1144   Published: JUL 2009

Kiselev A. V.; Hussin V.
HIROTA'S VIRTUAL MULTISOLITON SOLUTIONS OF N=2 SUPERSYMMETRIC KORTEWEG-DE VRIES EQUATIONS
THEORETICAL AND MATHEMATICAL PHYSICS  Volume: 159   Issue: 3   Pages: 833-841   Published: JUN 2009

Sahadevan R, Nalinidevi L
Similarity reduction, nonlocal and master symmetries of sixth order Korteweg-deVries equation
JOURNAL OF MATHEMATICAL PHYSICS   Volume: 50   Issue: 5 Article Number: 053505   Published: MAY 2009

Yi Zhang, Xiao-na Cai and Hong-xian Xu
A note on ”the integrable KdV6 equation:multiple solitonsolutions and multiple singular soliton solutions”
APPLIED MATHEMATICS and COMPUTATION,1 April 2009

Wang JP
Lenard scheme for two-dimensional periodic Volterra chain
JOURNAL OF MATHEMATICAL PHYSICS   Volume: 50   Issue: 2 Article Number: 023506   Published: FEB 2009

Kundu A, Sahadevan R, Nalinidevi L
Nonholonomic deformation of KdV and mKdV equations and their symmetries, hierarchies and integrability
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL   Volume: 42   Issue: 11 Article Number: 115213   Published: MAR 20 2009

Ramani A, Grammaticos B,  Willox R
Bilinearization and Solutions of the KdV6 Equation
ANALYSIS AND APPLICATIONS, Year: 2008 Vol: 6 Issue: 4 (October 2008) Page: 401 - 412

Kundu A,
Exact accelerating solitons in nonholonomic deformation of the KdV equation with a two-fold integrable hierarchy
J. PHYS. A: Math. Theor. 41 495201 (7pp),2008

Wazwaz, Abdul-Majid
The integrable KdV6 equations: Multiple soliton solutions and multiple singular soliton solutions
APPLIED MATHEMATICS & COMPUTATION, Oct 2008, Vol. 204 Issue 2, p963-972

Baran H, Marvan M
A conjecture concerning nonlocal terms of recursion operators
JOURNAL of MATHEMATICAL SCIENCES, Volume 151, Number 4 / June, 2008

Yao YQ, Zeng YB
The Bi-Hamiltonian Structure and New Solutions of KdV6 Equation
LETTERS IN MATHEMATICAL PHYSICS   Volume: 86   Issue: 2-3   Pages: 193-208   Published: DEC 2008

CA Gómez S, AH Salas
The Cole–Hopf transformation and improved tanh–coth method applied to new integrable system (KdV6)
APPLIED MATHEMATICS AND COMPUTATION, Volume 204, Issue 2, 15 October 2008, Pages 957-962

Sebestyen, P (Sebestyen, Peter)
On normal forms of irreducible sl(n)-valued zero-curvature representations
REPORTS ON MATHEMATICAL PHYSICS, 62 (1): 57-68 AUG 2008

Boris A. Kupershmidt
KdV6: An integrable system
PHYS LETT  A,  372(15),  2634-2639 APR  2008.

P. G. L. Leach, K. Andriopoulos
The Ermakov Equation: A Commentary
APPL. ANAL. DISCRETE MATH. 2 (2008), 146–157

Xu GQ
Searching for Painleve integrable conditions of nonlinear PDEs with constant parameters using symbolic computation
COMPUTER PHYSICS COMMUNICATIONS   178 (7):  505-517 APR 2008

Chen LX, Zhang JX
Non-travelling wave solutions of two (2+1)-dimensional nonlinear mathematical physics equations
APPLIED MATHEMATICS AND COMPUTATION   198 (1): 184-197 APR  2008

J LI, XB LIN
Travelling wave solutions for the Painleve integrable coupled KDV equations
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, Vol. 2008(2008), No. 86, pp. 1–11. 

Meshkov AG, Balakhnev MJ
Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS Volume: 4 Article Number: 018   Published: 2008

Jose F. Carinena, Javier de Lucas and Manuel F. Ranada
Recent Applications of the Theory of Lie Systems in Ermakov Systems
SIGMA Vol. 4 (2008), 031.

Khachatryan AG,  Irman A,  Van Goor FA, and  Boller KJ     
Femtosecond electron-bunch dynamics in laser wakefields and vacuum
PHYS. REV. ST Accel. Beams 10 (12): 121301  DEC 2007

Bai YQ, Wu K, Guo HY, et al.
Prolongation structure of semi-discrete nonlinear evolution equations 
COMMUNICATIONS IN THEORETICAL PHYSICS 48 (4): 591-600 OCT 15 2007

Sergyeyev A, Demskoi D
Sasa-Satsuma (complex modified Korteweg–de Vries II) and the complex sine-Gordon II equation revisited:
Recursion operators, nonlocal symmetries, and more
J MATH PHYS 48, 042702 APR 2007

Ahmad A, Bokhari AH, Kara AH, et al.
Symmetry reductions for 2-dimensional non-linear wave equation
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-
GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS 121 (6): 571-578 JUN 2006


Xu GQ
Painleve classification of a generalized coupled Hirota system 
PHYSICAL REVIEW E 74 (2): Art. No. 027602 Part 2 AUG 2006


Leach P. G. L.
'Air' polynomials, Lie point symmetries and a hyperbolic equation
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL  Volume: 39   Issue: 18   Pages: 5037-5052   DOI: 10.1088/0305-4470/39/18/018   Published: MAY 5 2006


Hong,WP
On solitary-wave solutions for the coupled Korteweg - De Vries and modified Korteweg - De Vries equations and their dynamics
ZEITSCHRIFT FUR NATURFORSCHUNG - Section A
JOURNAL of PHYSICAL SCIENCES  61 (3-4): 125-132 MAR 2006


Maharaj A, Leach PGL
Properties of the dominant behaviour of quadratic systems
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 13 (1): 129-144 FEB 2006

Zhao XQ, Zhi HY, Zhang HQ
Improved Jacobi-function method with symbolic computation to construct new double-periodic solutions for the generalized Ito system
CHAOS SOLITONS & FRACTALS 28 (1): 112-126 APR 2006


Tsuchida T, Wolf T
Classification of polynomial integrable systems of mixed scalar and vector evolution equations: I 
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 38 (35): 7691-7733 SEP 2 2005


Popa FC, Tintareanu-Mircea O
f-symbols in Robertson-Walker space-time
CENTRAL EUROPEAN JOURNAL OF PHYSICS 3 (2): 221-228 APR 2005


Igonin SA
Miura type transformations and homogeneous spaces 
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 38 (20): 4433-4446 MAY 20 2005


Naicker V, Andriopoulos K, Leach PGL
Symmetry reductions of a Hamilton-Jacobi-Bellman equation arising in financial mathematics 
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 12 (2): 268-283 MAY 2005


Sergyeyev A
A strange recursion operator demystified
J PHYS A-MATH GEN 38 (15): L257 APRIL 2005  

Haas F, Goedert J
Lie point symmetries for reduced Ermakov systems
PHYS LETT A 332 (1-2): 25-23 NOV 2004  

Sergyeyev A 
Locality of symmetries generated by nonhereditary, inhomogeneous, and time-dependent recursion
operators: A new application for formal symmetries 
ACTA APPLICANDAE MATHEMATICAE 83 (1-2): 95-109 AUG-SEP 2004

Sakovich SY 
Cyclic bases of zero-curvature representations: Five illustrations to one concept 
ACTA APPLICANDAE MATHEMATICAE 83 (1-2): 69-83 AUG-SEP 2004

Kersten P, Krasil'shchik I, Verbovetsky A 
Hamiltonian operators and l*-coverings 
J GEOM PHYS 50 (1-4): 273-302 APR 2004

Li HM, Lin J, Xu YS 
Multiple travelling wave solutions of two newly generalized Ito systems 
ACTA PHYS SIN-CH ED 53 (2): 349-355 FEB 2004

Turhan R 
A class of non autonomous coupled KdV systems 
J MATH PHYS 45 (2): 713-724 FEB 2004

Hon YC, Fan EG 
Solitary wave and doubly periodic wave solutions for the Kersten-Krasil'shchik coupled KdV-mKdV system 
CHAOS SOLITON FRACT 19 (5): 1141-1146 MAR 2004

Mukherjee S, Chowdhury AR 
Lax pair, cyclic basis, and a new integrable system 
CHAOS SOLITON FRACT 19 (5): 1225-1229 MAR 2004

Akulov VP, Catto S, Cebecioglu O, et al. 
On the time-dependent oscillator and the nonlinear realizations of the Virasoro group 
PHYS LETT B 575 (1-2): 137-143 NOV 20 2003

Foursov MV 
Towards the complete classification of homogeneous two-component integrable equations 
J MATH PHYS 44 (7): 3088-3096 JUL 2003

Halim AA, Kshevetskii SP, Leble SB 
Numerical integration of a coupled Korteweg-de Vries system 
COMPUT MATH APPL 45 (4-5): 581-591 FEB-MAR 2003

Marvan M, Sergyeyev A 
Recursion operator for the stationary Nizhnik-Veselov-Novikov equation 
J PHYS A-MATH GEN 36 (5): L87-L92 FEB 7 2003

Baleanu D 
Symmetries of the dual metrics 
INT J MOD PHYS D 11 (3): 405-416 MAR 2002

Yazici D, Oguz O, Oguz O 
Hamiltonian structure of multi component integrable systems 
CZECH J PHYS 51 (12): 1459-1463 DEC 2001

Verhoeven C, Musette M 
Granimian N - soliton solutions of a coupled KdV system 
J PHYS A-MATH GEN 34 (49): L721-L725 DEC 14 2001

Yazici D, Oguz O, Oguz O 
Multi-component bi-super hamiltonian KdV systems 
J PHYS A-MATH GEN 34 (37): 7713-7718 SEP 21 2001

Baleanu D, Baskal S 
Geometrization of the Lax pair tensors 
MOD PHYS LETT A 15 (24): 1503-1510 AUG 10 2000

Chen YF, Zhang HQ 
A generalization of recursion operators of differential equations 
APPL MATH MECH-ENGL 20 (11): 1230-1236 NOV 1999

Gao YT, Tian B 
On the variable-coefficient Burgers-Hlavaty equation 
Z NATURFORSCH A 54 (12): 761-762 DEC 1999

Sakovich SY 
Coupled KdV equations of Hirota-Satsuma type 
J NONLINEAR MATH PHY 6 (3): 255-262 AUG 1999

Al-Badawi A, Halilsoy M 
Energy amplification across sandwich waves in general relativity 
NUOVO CIMENTO B 114 (1): 21-30 JAN 1999

Sakovich SY 
On integrability of a (2+1)-dimensional perturbed KdV equation 
J NONLINEAR MATH PHY 5 (3): 230-233 AUG 1998

Hone ANW 
On the non-integrability of Roy's system 
NUOVO CIMENTO A 111 (2): 205-209 FEB 1998

Ma WX, Pavlov M 
Extending Hamiltonian operators to get bi-Hamiltonian coupled KdV Systems 
PHYS LETT A 246 (6): 511-522 SEP 28 1998

Gurtug O, Halilsoy M 
New colliding wave solutions in the Einstein-Abelian gauge and Einstein-Maxwell-dilaton theories 
NUOVO CIMENTO B 113 (1): 69-80 JAN 1998

Gurses M, Sermutlu E 
Colliding gravitational plane-waves in dilaton  gravity 
PHYS REV D 52 (2): 809-815 JUL 15 1995

GRIFFITHS JB 
COLLIDING PLANE WAVES IN GENERAL RELATIVITY 
Oxford Mathematical Monographs. Oxford Science Publications. 
The Clarendon Press, Oxford University Press, New York, 1991.

Hayward SA 
A letter of Gurses and Kalkanli - comment 
CLASSICAL QUANT GRAV 6 (12): 2035-2036 DEC 1 1989