On soliton and other exact solutions of the combined KdV and modified and generalized KdV equations

Ashfaque H. Bokhari; A. H. Kara; F. D. Zaman

doi:10.1393/ncb/i2005-10026-3

On soliton and other exact solutions of the combined KdV and modified and generalized KdV equations

Ashfaque H. Bokhari^*, A. H. Kara, F. D. Zaman

^*Corresponding author for this work

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

4 Scopus citations

Abstract

In this paper we provide a rationale for using the travelling wave assumption to obtain solutions of combined KdV and modified KdV equations by using one-parameter Lie group of transformations. Some new solutions of the modified KdV equation are obtained and the procedure is applied to find the travelling wave solutions of the combined and generalized KdV equations.

Original language	English
Pages (from-to)	393-396
Number of pages	4
Journal	Nuovo Cimento della Societa Italiana di Fisica B
Volume	120
Issue number	4
DOIs	https://doi.org/10.1393/ncb/i2005-10026-3
State	Published - Apr 2005

ASJC Scopus subject areas

General Physics and Astronomy

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title = "On soliton and other exact solutions of the combined KdV and modified and generalized KdV equations",

abstract = "In this paper we provide a rationale for using the travelling wave assumption to obtain solutions of combined KdV and modified KdV equations by using one-parameter Lie group of transformations. Some new solutions of the modified KdV equation are obtained and the procedure is applied to find the travelling wave solutions of the combined and generalized KdV equations.",

author = "Bokhari, \{Ashfaque H.\} and Kara, \{A. H.\} and Zaman, \{F. D.\}",

year = "2005",

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T1 - On soliton and other exact solutions of the combined KdV and modified and generalized KdV equations

AU - Bokhari, Ashfaque H.

AU - Kara, A. H.

AU - Zaman, F. D.

PY - 2005/4

Y1 - 2005/4

N2 - In this paper we provide a rationale for using the travelling wave assumption to obtain solutions of combined KdV and modified KdV equations by using one-parameter Lie group of transformations. Some new solutions of the modified KdV equation are obtained and the procedure is applied to find the travelling wave solutions of the combined and generalized KdV equations.

AB - In this paper we provide a rationale for using the travelling wave assumption to obtain solutions of combined KdV and modified KdV equations by using one-parameter Lie group of transformations. Some new solutions of the modified KdV equation are obtained and the procedure is applied to find the travelling wave solutions of the combined and generalized KdV equations.

UR - https://www.scopus.com/pages/publications/27944434738

U2 - 10.1393/ncb/i2005-10026-3

DO - 10.1393/ncb/i2005-10026-3

M3 - Article

AN - SCOPUS:27944434738

SN - 0369-3554

VL - 120

SP - 393

EP - 396

JO - Nuovo Cimento della Societa Italiana di Fisica B

JF - Nuovo Cimento della Societa Italiana di Fisica B

IS - 4

ER -

On soliton and other exact solutions of the combined KdV and modified and generalized KdV equations

Abstract

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