Painlevé property and approximate solutions using Adomian decomposition for a nonlinear KdV-like wave equation

Ayesha Sohail; Khadija Maqbool; Tasawar Hayat

doi:10.1016/j.amc.2013.12.056

Painlevé property and approximate solutions using Adomian decomposition for a nonlinear KdV-like wave equation

Ayesha Sohail
, Khadija Maqbool
, Tasawar Hayat

COMSATS University Islamabad
International Islamic University Islamabad
Quaid-I-Azam University

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

In this paper, we have discussed the integrability of a nonlinear partial differential equation, with a focus on the Painlevé property, the compatibility condition and the Bäcklund transformation. Afterwards, the Adomian decomposition method, which accurately computes the series solution, has been used to obtain an approximate solution. The convergence analysis based on the wave number and nonlinearity parameter has also been performed using graphical interface of a numerical solver.

Original language	English
Pages (from-to)	359-366
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	229
DOIs	https://doi.org/10.1016/j.amc.2013.12.056
State	Published - 25 Feb 2014
Externally published	Yes

Keywords

Adomian decomposition
Bäcklund transformation
Graphical user interface
PDE-solver
Painlevé property
Truncated solution

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10.1016/j.amc.2013.12.056

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title = "Painlev{\'e} property and approximate solutions using Adomian decomposition for a nonlinear KdV-like wave equation",

abstract = "In this paper, we have discussed the integrability of a nonlinear partial differential equation, with a focus on the Painlev{\'e} property, the compatibility condition and the B{\"a}cklund transformation. Afterwards, the Adomian decomposition method, which accurately computes the series solution, has been used to obtain an approximate solution. The convergence analysis based on the wave number and nonlinearity parameter has also been performed using graphical interface of a numerical solver.",

keywords = "Adomian decomposition, B{\"a}cklund transformation, Graphical user interface, PDE-solver, Painlev{\'e} property, Truncated solution",

author = "Ayesha Sohail and Khadija Maqbool and Tasawar Hayat",

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T1 - Painlevé property and approximate solutions using Adomian decomposition for a nonlinear KdV-like wave equation

AU - Sohail, Ayesha

AU - Maqbool, Khadija

AU - Hayat, Tasawar

PY - 2014/2/25

Y1 - 2014/2/25

N2 - In this paper, we have discussed the integrability of a nonlinear partial differential equation, with a focus on the Painlevé property, the compatibility condition and the Bäcklund transformation. Afterwards, the Adomian decomposition method, which accurately computes the series solution, has been used to obtain an approximate solution. The convergence analysis based on the wave number and nonlinearity parameter has also been performed using graphical interface of a numerical solver.

AB - In this paper, we have discussed the integrability of a nonlinear partial differential equation, with a focus on the Painlevé property, the compatibility condition and the Bäcklund transformation. Afterwards, the Adomian decomposition method, which accurately computes the series solution, has been used to obtain an approximate solution. The convergence analysis based on the wave number and nonlinearity parameter has also been performed using graphical interface of a numerical solver.

KW - Adomian decomposition

KW - Bäcklund transformation

KW - Graphical user interface

KW - PDE-solver

KW - Painlevé property

KW - Truncated solution

UR - https://www.scopus.com/pages/publications/84892159729

U2 - 10.1016/j.amc.2013.12.056

DO - 10.1016/j.amc.2013.12.056

M3 - Article

AN - SCOPUS:84892159729

SN - 0096-3003

VL - 229

SP - 359

EP - 366

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Painlevé property and approximate solutions using Adomian decomposition for a nonlinear KdV-like wave equation

Abstract

Keywords

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