Schr?dinger-improved Bousinesq系统的孤立波解和周期波解
Solitary wave solutions and periodic travelling wave solutions for the Schr?dinger-Improved-Bousinesq system
利用动力系统方法，对非线性Schr?dinger-improved Bousinesq系统的行波解进行了研究。基于这种方法，得到了包括孤立波解和周期波解在内的行波解。其中，孤立波解和周期波解分别由双曲函数和雅可比椭圆函数表示。最终，我们获得的结果完善了相关文献已有的研究成果。
By using the method of dynamical system, the exact travelling wave solutions of the coupled nonlinear Schr?dinger-improved Bousinesq are studied. Based on this method, the bounded exact travelling wave solutions are obtained which contain solitary wave solutions and periodic travelling wave solutions. The solitary wave solutions and periodic travelling wave solutions are expressed by the hyperbolic functions and the Jacobian elliptic functions, respectively. The results show that the presented findings improve the related previous conclusions.
王恒、陈龙伟
数学物理学
Schr?dinger-improved Bousinesq系统动力系统方法孤立波解周期波解
Schr?dinger-improved Bousinesq systemDynamical system methodSolitary wave solutionsPeriodic travelling wave solutions
王恒,陈龙伟.Schr?dinger-improved Bousinesq系统的孤立波解和周期波解[EB/OL].(2015-09-02)[2025-07-16].http://www.paper.edu.cn/releasepaper/content/201509-30.点此复制
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