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Solitary waves and their bifurcations of KdV like equation with higher order nonlinearity |
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| Authors: | Tang Minying Wang Ruiqi Jing Zhujun |
| Affiliation: | 1. Institute of Applied Mathematics, Yunnan University, Kunming 650091, China 2. Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China 3. Department of Mathematics, Hunan Normal University, Changsha 410081, China; Institute of Mathematics,Chinese Academy of Sciences, Beijing 100080, China |
| Abstract: | We investigate the KdV like equation with higher order nonlinearity ut + a(1 +bun)unux + uxxx = 0with n ≥ 1, a, b ∈ R and α≠ 0. The bifurcations and explicit expressions of solitary wave solutions for theequation are discussed by using the bifurcation method and qualitative theory of dynamical systems. Thebifurcation diagrams, existence and number of the solitary waves are given. |
| Keywords: | solitary waves bifurcation explicit solutions |
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