Exact Solutions of Some (1+1)-Dimensional Nonlinear Evolution Equations |
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Authors: | SHEN Shou-Feng |
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Affiliation: | Department of Mathematics, Zhejiang University ofTechnology, Hangzhou 310014, China |
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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. |
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Keywords: | variable separation Ito equation AKNS equation Hirota-Satsuma equation localized excitation |
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