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

R.K. Gupta; Anupma Bansal

doi:10.1016/j.amc.2012.11.044

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 ◽

Cited By ~ 8

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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Painleve analysis for a time-dependent Kadomtsev-Petviashvili equation

Physics Letters A ◽

10.1016/0375-9601(84)90114-2 ◽

1984 ◽

Vol 103 (5) ◽

pp. 239-242 ◽

Cited By ~ 37

Author(s):

W. Oevel ◽

W.-H. Steeb

Keyword(s):

Time Dependent ◽

Painlevé Analysis ◽

Petviashvili Equation ◽

Painleve Analysis

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A (2+1)-dimensional Kadomtsev–Petviashvili equation with competing dispersion effect: Painlevé analysis, dynamical behavior and invariant solutions

Results in Physics ◽

10.1016/j.rinp.2021.104043 ◽

2021 ◽

Vol 23 ◽

pp. 104043

Author(s):

Sandeep Malik ◽

Hassan Almusawa ◽

Sachin Kumar ◽

Abdul-Majid Wazwaz ◽

M.S. Osman

Keyword(s):

Dynamical Behavior ◽

Painlevé Analysis ◽

Invariant Solutions ◽

Dispersion Effect ◽

Petviashvili Equation ◽

Painleve Analysis

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Painlevé analysis, Lie symmetries, and exact solutions for the time-dependent coefficients Gardner equations

Nonlinear Dynamics ◽

10.1007/s11071-009-9556-2 ◽

2009 ◽

Vol 59 (3) ◽

pp. 497-502 ◽

Cited By ~ 26

Author(s):

Hanze Liu ◽

Jibin Li ◽

Lei Liu

Keyword(s):

Exact Solutions ◽

Lie Symmetries ◽

Time Dependent ◽

Painlevé Analysis ◽

Painleve Analysis

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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 ◽

Cited By ~ 4

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 for Boiti–Leon–Manna–Pempinelli equation of higher dimensions with time-dependent coefficients: Multiple soliton solutions

Physics Letters A ◽

10.1016/j.physleta.2020.126310 ◽

2020 ◽

Vol 384 (16) ◽

pp. 126310 ◽

Cited By ~ 5

Author(s):

Abdul-Majid Wazwaz

Keyword(s):

Soliton Solutions ◽

Higher Dimensions ◽

Time Dependent ◽

Painlevé Analysis ◽

Multiple Soliton Solutions ◽

Painleve Analysis

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Computer algebra, Painlevé analysis and the time-dependent-coefficient nonlinear Schrödinger equation

Computers & Mathematics with Applications ◽

10.1016/0898-1221(96)00068-5 ◽

1996 ◽

Vol 31 (11) ◽

pp. 115-119 ◽

Cited By ~ 25

Author(s):

Bo Tian ◽

Yi-Tian Gao

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Computer Algebra ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Painlevé Analysis ◽

Nonlinear Schrödinger ◽

Painleve Analysis

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Painlevé analysis, Lie symmetries, and integrability of coupled nonlinear oscillators of polynomial type

Physics Reports ◽

10.1016/0370-1573(93)90081-n ◽

1993 ◽

Vol 224 (1-2) ◽

pp. 1-93 ◽

Cited By ~ 104

Author(s):

M. Lakshmanan ◽

R. Sahadevan

Keyword(s):

Nonlinear Oscillators ◽

Lie Symmetries ◽

Painlevé Analysis ◽

Polynomial Type ◽

Coupled Nonlinear Oscillators ◽

Painleve Analysis

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Painlevé analysis and invariant solutions of generalized fifth-order nonlinear integrable equation

Nonlinear Dynamics ◽

10.1007/s11071-018-4503-8 ◽

2018 ◽

Vol 94 (4) ◽

pp. 2469-2477 ◽

Cited By ~ 28

Author(s):

Lakhveer Kaur ◽

Abdul-Majid Wazwaz

Keyword(s):

Integrable Equation ◽

Painlevé Analysis ◽

Invariant Solutions ◽

Nonlinear Integrable Equation ◽

Fifth Order ◽

Painleve Analysis

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Painlevé analysis and Bäcklund transformation for a three-dimensional Kadomtsev-Petviashvili equation

Chaos Solitons & Fractals ◽

10.1016/s0960-0779(96)00166-x ◽

1997 ◽

Vol 8 (6) ◽

pp. 893-895 ◽

Cited By ~ 15

Author(s):

T. Alagesan ◽

A. Uthayakumar ◽

K. Porsezian

Keyword(s):

Bäcklund Transformation ◽

Three Dimensional ◽

Painlevé Analysis ◽

Backlund Transformation ◽

Petviashvili Equation ◽

Painleve Analysis

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Painlevé Analysis, Lie Symmetries and Exact Solutions for Variable Coefficients Benjamin—Bona—Mahony—Burger (BBMB) Equation

Communications in Theoretical Physics ◽

10.1088/0253-6102/60/2/06 ◽

2013 ◽

Vol 60 (2) ◽

pp. 175-182 ◽

Cited By ~ 14

Author(s):

Vikas Kumar ◽

R.K. Gupta ◽

Ram Jiwari

Keyword(s):

Exact Solutions ◽

Variable Coefficients ◽

Lie Symmetries ◽

Painlevé Analysis ◽

Painleve Analysis

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