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Sub-ODE method and soliton solutions for the variable-coefficient mKdV equation
Authors:Houria Triki
Affiliation:a Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P.O. Box 12, 23000 Annaba, Algeria
b Department of Mathematics, Saint Xavier University, Chicago, IL 60655, United States
Abstract:In this work, an auxiliary equation is used for an analytic study on 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.
Keywords:Soliton solution   Variable coefficient modified KdV equation   Sub-ODE method
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