Constructing infinite sequence exact solutions of nonlinear evolution equations |
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| Authors: | Taogetusang and Narenmandula |
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| Affiliation: | College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, China; College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022, China; College of Physics and Electronics, Inner Mongolia University for Nationalities, Tongliao 028043, China |
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| Abstract: | To construct the infinite sequence new exact solutions of nonlinear evolution equations and study the first kind of elliptic function, new solutions and the corresponding Bäcklund transformation of the equation are presented. Based on this, the generalized pentavalent KdV equation and the breaking soliton equation are chosen as applicable examples and infinite sequence smooth soliton solutions, infinite sequence peak solitary wave solutions and infinite sequence compact soliton solutions are obtained with the help of symbolic computation system Mathematica. The method is of significance to search for infinite sequence new exact solutions to other nonlinear evolution equations. |
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| Keywords: | first kind of elliptic function Bä cklund transformation nonlinear evolution equation new infinite sequence exact solutions |
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