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耦合Schrdinger-Boussinesq方程组的显式精确解 被引量:10

Periodic Wave Solutions for the Coupled Schrdinger-Boussinesq Equations
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摘要 本文针对耦合Schrodinger-Boussinesq方程组,借助于F-展开法得到了用不同Jacobi椭圆函数表示的一系列周期波解.在极限情况下,还求出了对应的孤立波解. By using the F-expansion method we obtain a number of periodic wave solutions expressed by various Jacobi elliptic function for the coupled SchrSdinger-Boussinesq equations. In the limit case, solitary wave solutions are obtained as well.
出处 《应用数学学报》 CSCD 北大核心 2006年第5期955-960,共6页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(10071012号)资助项目.
关键词 耦合Schrodinger-Boussinesq 方程组 F-展开法 周期波解 Jacobi椭圆函数 孤立波解 coupled SchrSdinger-Boussinesq equations F-expansion method periodic wave solutions Jacobi elliptic functions solitary wave solutions
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