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Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 08/2019, Volume 528, p. 121320
Solutions of the nonlinear physical problems are significant and a vital topic in real life while the soliton based algorithms are promising techniques to... 
Kadomtsev–Petviashvili (KP) equations | Soliton solutions | Fractional calculus | Multiple exp-function method | HIGHER-ORDER | PHYSICS, MULTIDISCIPLINARY | DIFFERENTIAL-EQUATIONS | WAVE SOLUTIONS | NONLINEAR SCHRODINGER-EQUATION | Kadomtsev-Petviashvili (KP) equations
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 11/2017, Volume 74, Issue 10, pp. 2599 - 2607
The aim of this paper is to obtain the exact solutions with the help of similarity transformations method for Kadomtsev–Petviashvili (KP) equation in... 
Similarity solutions | KP equation | Similarity transformations method | Lie-group | Solitons | REDUCTIONS | SYSTEM | WAVE | MATHEMATICS, APPLIED | SYMMETRIES | HIERARCHY | Usage | Differential equations
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 10/2015, Volume 299, pp. 716 - 730
We consider a splitting approach for the Kadomtsev–Petviashvili equation with periodic boundary conditions and show that the necessary interpolation procedure... 
Dispersive equation | Kadomtsev–Petviashvili equation | Splitting methods | Kadomtsev-Petviashvili equation | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MASS CONSTRAINT | PHYSICS, MATHEMATICAL | Extrapolation | Interpolation | Order reduction | Splitting | Mathematical analysis | Conservation | Boundary conditions | Mathematical models
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 11/2016, Volume 72, Issue 9, pp. 2072 - 2083
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 10/2018, Volume 334, pp. 311 - 325
In this paper we propose a method to solve the Kadomtsev–Petviashvili equation based on splitting the linear part of the equation from the nonlinear part. The... 
method of characteristics | semi-Lagrangian discontinuous Galerkin methods | KP equation | time splitting | MATHEMATICS, APPLIED | WAVES | EVOLUTION | Analysis | Numerical analysis
Journal Article
Modern Physics Letters B, ISSN 0217-9849, 04/2019, Volume 33, Issue 10, p. 1950126
A new generalized Kadomtsev–Petviashvili (GKP) equation is derived from a bilinear differential equation by taking the transformation u = 2 ( ln f ) x . By... 
Hirota bilinear form | GKP equation | Lump solution | RATIONAL SOLUTIONS | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | ALGORITHMIC CONSTRUCTION | PHYSICS, MATHEMATICAL | BACKLUND TRANSFORMATION
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 12/2014, Volume 332, Issue 2, pp. 505 - 533
We study the large time asymptotic behavior of solutions to the Kadomtsev–Petviashvili equations $$\left\{\begin{array}{ll} u_{t} + u_{xxx} + \sigma... 
Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | PHYSICS, MATHEMATICAL
Journal Article
Computers & Mathematics with Applications, ISSN 0898-1221, 11/2017, Volume 74, Issue 10, p. 2599
The aim of this paper is to obtain the exact solutions with the help of similarity transformations method for Kadomtsev-Petviashvili (KP) equation in... 
Studies | Boussinesq equations | Similarity | Differential equations | Ordinary differential equations | Constants | Transformations | Solitary waves
Journal Article
Communications in Theoretical Physics, ISSN 0253-6102, 08/2016, Volume 66, Issue 2, pp. 189 - 195
Journal Article
Theoretical and Mathematical Physics, ISSN 0040-5779, 8/2018, Volume 196, Issue 2, pp. 1174 - 1199
Journal Article
中国物理B:英文版, ISSN 1674-1056, 2014, Volume 23, Issue 10, pp. 1 - 6
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 11/2017, Volume 263, Issue 9, pp. 5696 - 5726
The Cauchy problem of the fifth order Kadomtsev–Petviashvili-I equation (fifth-KP-I)(0.1)∂tu+∂x5u±∂x3u−∂x−1∂yyu+∂x(u2)=0,(x,y,t)∈R3; is considered. It follows... 
Dyadic [formula omitted] spaces | Fifth order Kadomtsev–Petviashvili-I equation | Well-posedness | Dyadic X | spaces | MATHEMATICS | SOBOLEV SPACES | Fifth order Kadomtsev-Petviashvili-I equation | Dyadic X-s,X-b spaces | CAUCHY-PROBLEM | GLOBAL WELL-POSEDNESS
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 12/2013, Volume 265, pp. 1 - 25
Journal Article
Wave Motion, ISSN 0165-2125, 03/2018, Volume 77, pp. 243 - 256
The interactions of multi-lumps within the Kadomtsev–Petviashvili-1 (KP1) equation are studied analytically and numerically. The dependence of stationary... 
Hirota transformation | Soliton interaction | Kadomtsev–Petviashvili equation | Lump solution | GRAVITY-CAPILLARY LUMPS | PHYSICS, MULTIDISCIPLINARY | BOTTOM TOPOGRAPHY | Kadomtsev-Petviashvili equation | ACOUSTICS | WAVES | MECHANICS | I EQUATION | SOLITONS | EVOLUTION | GENERATION | PLATE
Journal Article
Theoretical and Mathematical Physics, ISSN 0040-5779, 8/2018, Volume 196, Issue 2, pp. 1164 - 1173
In the tropical limit of matrix KP-II solitons, their support at a fixed time is a planar graph with “polarizations” attached to its linear parts. We explore a... 
Yang–Baxter map | binary tree | soliton | hexagon equation | Theoretical, Mathematical and Computational Physics | dilogarithm | pentagon equation | Applications of Mathematics | KP equation | tropical limit | Physics | PHYSICS, MULTIDISCIPLINARY | Yang-Baxter map | PHYSICS, MATHEMATICAL
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2019, Volume 478, Issue 1, pp. 156 - 181
In this paper we study special properties of solutions of the initial value problem (IVP) associated to the fifth order Kadomtsev-Petviashvili II equation.... 
Local well-posedness | Fifth order Kadomtsev-Petviashvili II equation | Propagation of regularity | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | SOBOLEV SPACES | SOLITARY WAVES | Fifth order Kadomtsev-Petviashvili | CAUCHY-PROBLEM | II equation | GLOBAL WELL-POSEDNESS
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 04/2015, Volume 300, pp. 1 - 14
A wealth of observations, recently supported by rigorous analysis, indicate that, asymptotically in time, most multi-soliton solutions of the... 
KP II equation | Soliton webs | Junction “lattice” | Junction "lattice" | TOTAL POSITIVITY | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | KP EQUATION | PHYSICS, FLUIDS & PLASMAS | HIERARCHIES | POTENTIALS | PHYSICS, MATHEMATICAL | TRANSFORMATION GROUPS
Journal Article
Physica Scripta, ISSN 0031-8949, 02/2013, Volume 87, Issue 2, pp. 25003 - 12
In this paper, we study the Kadomtsev-Petviashvili equation with generalized evolution and derive some new results using the approach called the trial equation... 
TRAVELING-WAVE SOLUTIONS | CAMASSA-HOLM | PHYSICS, MULTIDISCIPLINARY | NONLINEAR EVOLUTION-EQUATIONS | Mathematical analysis | Rational functions | Classification | Exact solutions | Differential equations | Nonlinearity | Evolution | Elliptic functions
Journal Article
理论物理通讯:英文版, ISSN 0253-6102, 2016, Volume 65, Issue 3, pp. 341 - 346
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 05/2016, Volume 34, pp. 210 - 223
•By means of the gauge transformation, the Wronskian solutions of the DNLS equations have been given.•We have got the bright soliton and the dark-bright... 
Gauge transformation | Constrained discrete KP hierarchy | Wronskian solution | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | KP HIERARCHY | GAUGE TRANSFORMATIONS | EQUATIONS | PHYSICS, MATHEMATICAL | ADDITIONAL SYMMETRIES | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | DETERMINANT REPRESENTATION | OPERATORS
Journal Article
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