Painlevé analysis and new analytic solutions for variable-coefficient Kadomtsev–Petviashvili equation with symbolic computation

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.05.002 ◽

2010 ◽

Vol 216 (12) ◽

pp. 3568-3577 ◽

Author(s):

Xiao-Nan Li ◽

Guang-Mei Wei ◽

Yue-Qian Liang

Keyword(s):

Symbolic Computation ◽

Variable Coefficient ◽

Analytic Solutions ◽

Painlevé Analysis ◽

Petviashvili Equation ◽

Painleve Analysis

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Painlevé Analysis and Darboux Transformation for a Variable-Coefficient Boussinesq System in Fluid Dynamics with Symbolic Computation

Communications in Theoretical Physics ◽

10.1088/0253-6102/53/5/08 ◽

2010 ◽

Vol 53 (5) ◽

pp. 831-836 ◽

Author(s):

Li Hong-Zhe ◽

Tian Bo ◽

Li Li-Li ◽

Zhang Hai-Qiang

Keyword(s):

Fluid Dynamics ◽

Symbolic Computation ◽

Darboux Transformation ◽

Variable Coefficient ◽

Boussinesq System ◽

Painlevé Analysis ◽

Painleve Analysis

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Painlevé analysis, auto-Bäcklund transformation and new analytic solutions for a generalized variable-coefficient Korteweg-de Vries (KdV) equation

The European Physical Journal B ◽

10.1140/epjb/e2006-00378-3 ◽

2006 ◽

Vol 53 (3) ◽

pp. 343-350 ◽

Author(s):

Guang-Mei Wei ◽

Yi-Tian Gao ◽

Wei Hu ◽

Chun-Yi Zhang

Keyword(s):

Variable Coefficient ◽

Bäcklund Transformation ◽

Kdv Equation ◽

Analytic Solutions ◽

Painlevé Analysis ◽

Backlund Transformation ◽

De Vries ◽

Painleve Analysis

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Painlevé Property and New Analytic Solutions for a Variable-Coefficient Kadomtsev–Petviashvili Equation with Symbolic Computation

Chinese Physics Letters ◽

10.1088/0256-307x/25/5/021 ◽

2008 ◽

Vol 25 (5) ◽

pp. 1599-1602 ◽

Author(s):

Wei Guang-Mei ◽

Gao Yi-Tian ◽

Xu Tao ◽

Meng Xiang-Hua ◽

Zhang Chun-Yi

Keyword(s):

Symbolic Computation ◽

Variable Coefficient ◽

Analytic Solutions ◽

Painlevé Property ◽

Petviashvili Equation

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Painlevé Analysis, Soliton Collision and Bäcklund Transformation for the (3+1)-Dimensional Variable-Coefficient Kadomtsev—Petviashvili Equation in Fluids or Plasmas

Communications in Theoretical Physics ◽

10.1088/0253-6102/62/1/05 ◽

2014 ◽

Vol 62 (1) ◽

pp. 26-32 ◽

Author(s):

Xi-Yang Xie ◽

Bo Tian ◽

Yan Jiang ◽

Hui Zhong ◽

Ya Sun ◽

...

Keyword(s):

Variable Coefficient ◽

Bäcklund Transformation ◽

Painlevé Analysis ◽

Backlund Transformation ◽

Soliton Collision ◽

Petviashvili Equation ◽

Dimensional Variable ◽

Painleve Analysis

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Painlevé Analysis and Determinant Solutions of a (3+1)-Dimensional Variable-Coefficient Kadomtsev–Petviashvili Equation in Wronskian and Grammian Form

Communications in Theoretical Physics ◽

10.1088/0253-6102/51/6/18 ◽

2009 ◽

Vol 51 (6) ◽

pp. 1062-1068 ◽

Author(s):

Meng Xiang-Hua ◽

Tian Bo ◽

Feng Qian ◽

Yao Zhen-Zhi ◽

Gao Yi-Tian

Keyword(s):

Variable Coefficient ◽

Painlevé Analysis ◽

Petviashvili Equation ◽

Dimensional Variable ◽

Painleve Analysis

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Painlevé Analysis and the Complete Integrability of a Generalized Variable-Coefficient Kadomtsev-Petviashvili Equation

IMA Journal of Applied Mathematics ◽

10.1093/imamat/44.1.27 ◽

1990 ◽

Vol 44 (1) ◽

pp. 27-53 ◽

Author(s):

PETER A. CLARKSON

Keyword(s):

Variable Coefficient ◽

Complete Integrability ◽

Painlevé Analysis ◽

Petviashvili Equation ◽

Painleve Analysis

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Painleve’ analysis of a variable coefficient Sine‐Gordon equation

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.166144 ◽

1995 ◽

Vol 5 (4) ◽

pp. 690-692 ◽

Author(s):

Angelo Di Garbo ◽

Leone Fronzoni

Keyword(s):

Variable Coefficient ◽

Gordon Equation ◽

Painlevé Analysis ◽

Sine Gordon Equation ◽

Painleve Analysis

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Analytic solutions of carrier flow equations via the Painleve analysis approach

Journal of Physics A General Physics ◽

10.1088/0305-4470/22/24/009 ◽

1989 ◽

Vol 22 (24) ◽

pp. 5187-5194 ◽

Author(s):

Zhi xiong Chen ◽

Ben-yu Guo

Keyword(s):

Analytic Solutions ◽

Analysis Approach ◽

Painlevé Analysis ◽

Flow Equations ◽

Carrier Flow ◽

Painleve Analysis

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Painlevé analysis, Lie symmetries and invariant solutions of potential Kadomstev–Petviashvili equation with time dependent coefficients

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.11.044 ◽

2013 ◽

Vol 219 (10) ◽

pp. 5290-5302 ◽

Author(s):

R.K. Gupta ◽

Anupma Bansal

Keyword(s):

Lie Symmetries ◽

Time Dependent ◽

Painlevé Analysis ◽

Invariant Solutions ◽

Petviashvili Equation ◽

Painleve Analysis

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Analytic solutions of a microstructure PDE and the KdV and Kadomtsev–Petviashvili equations by invariant Painlevé analysis and generalized Hirota techniques

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.01.055 ◽

2017 ◽

Vol 311 ◽

pp. 228-239 ◽

Author(s):

Matthew Russo ◽

S. Roy Choudhury

Keyword(s):

Analytic Solutions ◽

Painlevé Analysis ◽

Painleve Analysis

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