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Zbl 1197.35212
Ali, A.H.A.
The modified extended tanh-function method for solving coupled MKdV and coupled Hirota-Satsuma coupled KdV equations.
(English)
[J] Phys. Lett., A 363, No. 5-6, 420-425 (2007). ISSN 0375-9601

Summary: By means of the modified extended tanh-function (METF) method the multiple travelling wave solutions of some different kinds of nonlinear partial differential equations are presented and implemented in a computer algebraic system. The solutions for the nonlinear equations such as coupled MKdV and coupled Hirota-Satsuma coupled KdV equations are exactly obtained and so the efficiency of the method can be demonstrated.
MSC 2000:
*35Q53 KdV-like equations
35Q51 Solitons

Keywords: coupled MKdV equations; Hirota-Satsuma coupled KdV equations; METF method

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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