4.2 Article

Multiple Soliton Solutions for a Variety of Coupled Modified Korteweg-de Vries Equations

出版社

WALTER DE GRUYTER GMBH
DOI: 10.5560/ZNA.2011-0034

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Coupled mKdV Equation; Hirota Bilinear Method; Hietarinta Approach; Multiple Soliton Solutions; Multiple Singular Soliton Solutions; Resonance

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We make use of Hirota's bilinear method with computer symbolic computation to study a variety of coupled modified Korteweg-de Vries (mKdV) equations. Multiple soliton solutions and multiple singular soliton solutions are obtained for each coupled equation. The resonance phenomenon of each coupled mKdV equation is proved not to exist.

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