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Z. Naturforsch. 66a, 625 – 631
(2011)
doi:10.5560/ZNA.2011-0034
Multiple Soliton Solutions for a Variety of Coupled Modified Korteweg–de Vries Equations
Department of Mathematics, Saint Xavier University Chicago, IL 60655
Received May 19, 2011 / revised July 6, 2011
Reprint requests to: A.-M. W.; E-mail:
wazwaz@sxu.edu
We make use of Hirotas 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.
Key words: Coupled mKdV Equation; Hirota Bilinear Method; Hietarinta Approach; Multiple Soliton Solutions; Multiple Singular Soliton Solutions; Resonance.