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Sub-ODE method and soliton solutions for the variable-coefficient mKdV equation. (English) Zbl 1171.35467
Summary: An auxiliary equation is used for an analytic study of the time-variable coefficient modified Korteweg-de Vries (mKdV) equation. Five sets of new exact soliton-like solutions are obtained. The results show that the pulse parameters are time-dependent variable coefficients. Moreover, the basic conditions for the formation of derived solutions are presented.

MSC:
35Q53 KdV equations (Korteweg-de Vries equations)
35Q51 Soliton equations
35C05 Solutions to PDEs in closed form
35A20 Analyticity in context of PDEs
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