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Exact solutions to mKdV equation with variable coefficients
Authors:Alvaro H. Salas
Affiliation:Universidad de Caldas, Manizales, Colombia Department of Mathematics, Universidad Nacional de Colombia, Manizales, Colombia
Abstract:In this paper a special mKdV with variable coefficients is considered. A transformation of variables is first applied in order to obtain a mKdV equation with constant coefficients. Some its one-, two- and three-soliton as well as breather-type soliton solutions are derived by using Hirorta’s bilinear approach.
Keywords:KdV   mKdV   Hirota&rsquo  s method   Bilinear form   Multisoliton solution
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