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一类非线性发展方程的椭圆周期解

Elliptic Periodic Solutions of a Class of Nonlinear Evolution Equations
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摘要 为了求非线性发展方程的孤立波解,提出了齐次平衡法的扩展应用.在此基础上,得到2+1维耗散长波方程组的椭圆周期解.这种方法也可用于求大量非线性发展方程的精确解. The extended homogenous balance method is applied to find solitary wave solutions of nonlinear evolution equations. Some new exact elliptic periodic solutions of the dispersive long wave equations in 2 + 1 dimensions are obtained by using the method. This method also can be applied to find exact solutions of a lot of nonlinear evolution equations.
作者 周相泉
出处 《河北师范大学学报(自然科学版)》 CAS 北大核心 2006年第3期263-265,270,共4页 Journal of Hebei Normal University:Natural Science
基金 山东省自然科学基金资助项目(2004ZX16)
关键词 齐次平衡法 椭圆周期解 2+1维耗散长波方程组 homogenous balance method elliptic periodic solutions dispersive long wave equations in 2 + 1 dimensions
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参考文献7

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