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耦合Schrdinger-Boussinesq方程组的行波解和分歧方法 被引量：1

Bifurcation method and traveling wave solutions for the coupled Schrdinger-Boussinesq equations
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摘要 文章应用动力系统分歧理论、定性理论和Maple软件相结合的方法,研究了一类非线性Schrdinger-Boussinesq方程组的行波解,获得了该方程组在给定参数条件下的所有孤立波解、扭波解、反扭波解和周期波解,并给出了其解的表达式;所得结果推广和丰富了已有文献的相应结果,并且数值模拟验证了方法和结果的正确性。 The traveling wave solutions of a nonlinear Schrodinger-Boussinesq equation are investigated by combining the methods of bifurcation theory of dynamical systems, the qualitative theory and the Maple software. Under the given conditions with different parameters, all exact explicit formulas of all solitary wave solutions, kink and anti-kink solutions and periodic wave solutions are obtained. Meanwhile, the results obtained generalize and enrich some corresponding ones in related literature, and the numerical simulation shows the correctness of the theoretical analysis and the results.
作者 苗宝军 容跃堂
机构地区 许昌学院数学科学学院 西安工程大学理学院
出处 《合肥工业大学学报（自然科学版）》 CAS CSCD 北大核心 2008年第11期1918-1923,共6页 Journal of Hefei University of Technology：Natural Science
关键词 孤立波解 周期波解 扭波解 反扭波解 分歧理论 动力系统 solitary wave solution periodic wave solution kink wave solution anti-kink wave solution bifurcation theory dynamical system
分类号 O175.12 [理学—基础数学]
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参考文献13

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二级参考文献13

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共引文献9

同被引文献10

引证文献1

二级引证文献3

合肥工业大学学报（自然科学版）
2008年 第11期

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