The improved Fan sub-equation method and its application to the SK equation |
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| Authors: | Dahe Feng Guoxiang Luo |
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| Affiliation: | a School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, PR China
b Department of Mathematics, Guilin College of Aerospace Technology, Guilin, Guangxi 541004, PR China |
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| Abstract: | In this paper, many types of exact solutions of a first-order nonlinear ordinary differential equation called Fan sub-equation, is further investigated by using bifurcation method of dynamical systems. As a result, more types of exact solutions to Sawada-Kotera (SK) equation are obtained, which include more general soliton solutions, kink solutions, triangular function solutions, Jacobian elliptic function solutions with double periods and so on. |
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| Keywords: | Improved Fan sub-equation method Bifurcation method SK equation Soliton solution Kink solution Periodic solution |
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