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Computers and Mathematics with Applications, ISSN 0898-1221, 11/2017, Volume 74, Issue 10, pp. 2341 - 2347
Breather, lump and soliton solutions are presented via the Hirota bilinear method, to the nonlocal (2+1)-dimensional KP equation, derived from the Alice–Bob... 
[formula omitted] soliton | Alice–Bob system | Nonlocal KP equation | Lump solution | X soliton | RATIONAL SOLUTIONS | WAVE | MATHEMATICS, APPLIED | SYMMETRY | HIROTA BILINEAR EQUATION | Alice-Bob system
Journal Article
by Wu, WB and Lou, SY
COMMUNICATIONS IN THEORETICAL PHYSICS, ISSN 0253-6102, 06/2019, Volume 71, Issue 6, pp. 629 - 632
An Alice-Bob Kadomtsev-Petviashivili (ABKP) equation with shifted-parity ((P) over cap (x)(s) parity with a shift for the space variable x) and delayed time... 
parity and time reversal | classical prohibition | DE-VRIES EQUATION | PHYSICS, MULTIDISCIPLINARY | KP equations | nonlocal systems
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 12/1997, Volume 38, Issue 12, pp. 6401 - 6427
Starting from a known Lax pair, one can get some infinitely many coupled Lax pairs, infinitely many nonlocal symmetries and infinitely many new integrable... 
KORTEWEG-DEVRIES EQUATION | LINEAR EVOLUTION-EQUATIONS | DE VRIES EQUATIONS | HAMILTONIAN-SYSTEMS | K UR PHYSICS, MATHEMATICAL | KDV EQUATION | PAINLEVE PROPERTY | NONLOCAL SYMMETRIES | PHYSICS, MATHEMATICAL | KADOMTSEV-PETVIASHVILI EQUATION | BINARY DARBOUX TRANSFORMATIONS | ORDINARY DIFFERENTIAL-EQUATIONS
Journal Article
by Naz, R and Ali, Z and Naeem, I
Abstract and Applied Analysis, ISSN 1085-3375, 2013, Volume 2013, pp. 1 - 11
Journal Article
Wave Motion, ISSN 0165-2125, 12/2014, Volume 51, Issue 8, pp. 1298 - 1308
Journal Article
Kinetic and Related Models, ISSN 1937-5093, 12/2013, Volume 6, Issue 4, pp. 989 - 1009
We consider in this paper the Full Dispersion Kadomtsev-Petviashvili Equation (FDKP) introduced in [19] in order to overcome some shortcomings of the classical... 
Water waves | Whitham equation | KP equation | Weakly transverse waves | Full dispersion | Nonlocal dispersion | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | full dispersion | STABILITY | SOLITARY-WAVE SOLUTIONS | water waves | nonlocal dispersion | weakly transverse waves
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 2000, Volume 5, Issue 1, pp. 31 - 35
With the aid of MATHEMATICA, the idea of improved homogeneous balance method is extended to (2+1)-dimensional variable coefficients KP equation. As a result,... 
variable coefficient generalized KP equation | soliton | exact solution | nonlocal symmetry | Bäcklund transformation | Soliton | Variable coefficient generalized KP equation | Non-local symmetry | Exact solution
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 6/2007, Volume 272, Issue 2, pp. 469 - 505
The algebro-geometric approach for integrability of semi-Hamiltonian hydrodynamic type systems is presented. The class of symmetric hydrodynamic type systems... 
Quantum Computing, Information and Physics | Relativity and Cosmology | Mathematical and Computational Physics | Quantum Physics | Physics | Statistical Physics | Complexity | REDUCTIONS | BENNEY EQUATIONS | MODELS | KP EQUATION | HIERARCHIES | CHAINS | NONLOCAL POISSON BRACKETS | PHYSICS, MATHEMATICAL | Physics - Exactly Solvable and Integrable Systems
Journal Article
中国物理B:英文版, ISSN 1674-1056, 2014, Volume 23, Issue 10, pp. 1 - 6
Journal Article
International Journal of Non-Linear Mechanics, ISSN 0020-7462, 03/2016, Volume 79, pp. 1 - 9
A geometrically nonlinear large deformation analysis of SLGSs is presented using the element-free kp-Ritz method. Classical plate theory (CLP) is applied to... 
Nonlinear large deformation | SLGSs | Element-free kp-Ritz method | Nonlocal elasticity theory | GRAPHENE SHEETS | ELASTICITY | MECHANICS | NONLINEAR-ANALYSIS | VIBRATION | Plate theory | Nonlinear equations | Deformation | Mathematical analysis | Small scale | Nonlinearity | Mathematical models | Computational efficiency
Journal Article
Nonlinearity, ISSN 0951-7715, 10/2018, Volume 31, Issue 12, pp. 5385 - 5409
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 07/2018, Volume 93, Issue 2, pp. 721 - 731
Journal Article
by Liu, W and Zheng, XX and Li, XL
NONLINEAR DYNAMICS, ISSN 0924-090X, 11/2018, Volume 94, Issue 3, pp. 2177 - 2189
General bright and dark soliton solutions to the partial reverse space-time nonlocal Mel'nikov equation with parity-time symmetry are constructed by the Hirota... 
Soliton solution | RATIONAL SOLUTIONS | WAVES | MECHANICS | Hirota's bilinear method | KP hierarchy reduction method | Partial reverse space-time nonlocal Mel'nikov equation | ORBITAL STABILITY | ENGINEERING, MECHANICAL | Information science
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 05/2012, Volume 85, Issue 5, p. 056607
In nonlinear science, it is very difficult to find exact interaction solutions among solitons and other kinds of complicated waves such as cnoidal waves and... 
INTEGRABLE MODELS | SOLITONS | GORDON EQUATION | PHYSICS, FLUIDS & PLASMAS | KDV EQUATION | EXTENSION | CONSERVATION-LAWS | NONLOCAL SYMMETRIES | PHYSICS, MATHEMATICAL | TRANSFORMATIONS | HIERARCHY
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 7/2018, Volume 93, Issue 2, pp. 721 - 731
We investigate a $$(2+1)$$ (2+1) -dimensional nonlocal nonlinear Schrödinger equation with the self-induced parity-time symmetric potential. By employing the... 
(2+1)$$ ( 2 + 1 ) -Dimensional nonlocal nonlinear Schrödinger | Engineering | Vibration, Dynamical Systems, Control | Soliton solution | Classical Mechanics | Hirota’s bilinear method | Automotive Engineering | Mechanical Engineering | KP hierarchy reduction method
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 04/2016, Volume 49, Issue 20, p. 205202
Asymptotic reductions of a defocusing nonlocal nonlinear Schrdinger model in (3 + 1)-dimensions, in both Cartesian and cylindrical geometry, are presented.... 
asymptotic analysis | nonlocal NLS | solitons | SOLITARY WAVES | PHYSICS, MULTIDISCIPLINARY | RING DARK SOLITONS | MULTISCALE EXPANSIONS | MULTIDIMENSIONAL SOLITONS | OPTICAL MEDIA | NEMATICONS | PHYSICS, MATHEMATICAL | PROPAGATION
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 11/2018, Volume 94, Issue 3, pp. 2177 - 2189
General bright and dark soliton solutions to the partial reverse space–time nonlocal Mel’nikov equation with parity–time symmetry are constructed by the Hirota... 
Engineering | Vibration, Dynamical Systems, Control | Soliton solution | Partial reverse space–time nonlocal Mel’nikov equation | Classical Mechanics | Hirota’s bilinear method | Automotive Engineering | Mechanical Engineering | KP hierarchy reduction method | Mathematical analysis | Solitary waves | Exact solutions
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 04/2019, Volume 69, pp. 45 - 57
The present article is devoted to obtain some invariant solutions of (2+1)–dimensional Gardner equation by using similarity transformation method. The equation... 
Numerical simulation | Gardner equation | Lie group theory | Invariant solutions | SYSTEM | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | MODEL | PHYSICS, MATHEMATICAL | KINK SOLUTIONS | PAINLEVE ANALYSIS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | SOLITONS | REDUCTION | GROUP CLASSIFICATION | COEFFICIENTS | KDV | NONLOCAL SYMMETRY | Numerical analysis | Differential equations
Journal Article
Composite Structures, ISSN 0263-8223, 06/2016, Volume 144, pp. 86 - 95
Journal Article
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