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一类带2-3次非线性项的双色散方程行波解分支 被引量:1

Bifurcations of traveling wave solutions for double dispersion equation with quadratic-cubic nonlinearity
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摘要 为得到一类带2-3次非线性项的双色散方程的行波解,运用平面动力系统理论,得到了该方程在不同参数条件下的光滑孤立波解、周期波解及扭波(反扭波)解的精确表达式。 To get traveling wave solutions of double dispersion equation with quadratic-cubic nonlinearity, bifurcation theory of planar dynamical system method is used, the exact expressions of solitary wave solutions, periodic wave solutions and kink (anti-kink) wave solutions are obtained under the different parameters.
出处 《桂林电子科技大学学报》 2017年第2期163-168,共6页 Journal of Guilin University of Electronic Technology
基金 国家自然科学基金(11361017 11261013) 桂林电子科技大学研究生教育创新计划(2016YJCX47)
关键词 双色散方程 孤立波解 周期波解 扭波(反扭波)解 动力系统理论 double dispersion equation solitary wave solutions periodic wave solutions kink (anti-kink) wave solutions dynamical system method
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