Analytical and Numerical Methods for the CMKdV-II Equation

Ömer Akin and Ersin Özuğurlu

Mathematical Problems in Engineering, 2009, vol. 2009, 1-11

Abstract:

Hirota's bilinear form for the Complex Modified Korteweg-de Vries-II equation (CMKdV-II) 𠑈 𠑡 − 6 | 𠑈 | 2 𠑈 𠑥 + 𠑈 𠑥 𠑥 𠑥 = 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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:935030

DOI: 10.1155/2009/935030

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