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Exact Solutions of Some (1+1)-Dimensional Nonlinear Evolution Equations
Authors:SHEN Shou-Feng
Affiliation:Department of Mathematics, Zhejiang University ofTechnology, Hangzhou 310014, China
Abstract:By means of the variable separation method, new exact solutions of some (1+1)-dimensional nonlinear evolutionequations are obtained. Abundant localized excitations can befound by selecting corresponding arbitrary functionsappropriately. Namely, the new soliton-like localized excitationsand instanton-like localized excitations are presented.
Keywords:variable separation   Ito equation   AKNS equation   Hirota-Satsuma equation  localized excitation   
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