Analytical and numerical methods for the CMKdV-II equation

Ömer Akin; Ersin Özuĝurlu

doi:10.1155/2009/935030

Analytical and numerical methods for the CMKdV-II equation

Ömer Akin, Ersin Özuĝurlu^*

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

Hirota's bilinear form for the Complex Modified Korteweg-de Vries-II equation (CMKdV-II) U t -6U 2 U x + U xxx =0 is derived. We obtain one- and two-soliton solutions analytically for the CMKdV-II. One-soliton solution of the CMKdV-II equation is obtained by using finite difference method by implementing an iterative method.

Original language	English
Article number	935030
Journal	Mathematical Problems in Engineering
Volume	2009
DOIs	https://doi.org/10.1155/2009/935030
Publication status	Published - 2009
Externally published	Yes

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title = "Analytical and numerical methods for the CMKdV-II equation",

abstract = "Hirota's bilinear form for the Complex Modified Korteweg-de Vries-II equation (CMKdV-II) U t -6U 2 U x + U xxx =0 is derived. We obtain one- and two-soliton solutions analytically for the CMKdV-II. One-soliton solution of the CMKdV-II equation is obtained by using finite difference method by implementing an iterative method.",

author = "{\"O}mer Akin and Ersin {\"O}zuĝurlu",

year = "2009",

doi = "10.1155/2009/935030",

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journal = "Mathematical Problems in Engineering",

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AU - Akin, Ömer

AU - Özuĝurlu, Ersin

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N2 - Hirota's bilinear form for the Complex Modified Korteweg-de Vries-II equation (CMKdV-II) U t -6U 2 U x + U xxx =0 is derived. We obtain one- and two-soliton solutions analytically for the CMKdV-II. One-soliton solution of the CMKdV-II equation is obtained by using finite difference method by implementing an iterative method.

AB - Hirota's bilinear form for the Complex Modified Korteweg-de Vries-II equation (CMKdV-II) U t -6U 2 U x + U xxx =0 is derived. We obtain one- and two-soliton solutions analytically for the CMKdV-II. One-soliton solution of the CMKdV-II equation is obtained by using finite difference method by implementing an iterative method.

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U2 - 10.1155/2009/935030

DO - 10.1155/2009/935030

M3 - Article

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SN - 1024-123X

VL - 2009

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

M1 - 935030

ER -

Analytical and numerical methods for the CMKdV-II equation

Abstract

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