By using a mapping method, we obtain exact solutions of the (2 + 1) dimensional long wave equations.
运用数学中的映射方法分析论证，获得了(2 +1)维长波方程组的精确解。
Auxiliary equation method is extended and applied to 2-dimensional generalized dispersive long wave equations.
用辅助方程法构建二维广义色散长波方程的精确解。
The periodic initial value problem of a class of generalized symmetric regularized long wave equations is considered.
考虑了一类广义的对称正则长波方程的周期初值问题。
The long time behavior of solutions of the generalized symmetric regularized long wave equations with dissipation term is considered.
该文考虑了带有耗散项的广义对称正则长波方程解的长时间性态。
Some new exact elliptic periodic solutions of the dispersive long wave equations in (2 + 1) dimensions are obtained by using the method.
在此基础上，得到2 +1维耗散长波方程组的椭圆周期解。
Abstract: The properties of solitary wave solution to multidimensional regularized long wave equations is discussed and one of its solitary wave solution is obtained by direct integral method.
文摘：本文讨论了高维正则长波方程的孤立波解的性态，同时运用直接积分法获得了它的一个孤立波解。
As one of the soliton equations, long wave equation takes on profound significance of theory and reality.
长水波方程作为一种孤子方程具有很强的理论和现实意义。
We successfully derived some exact solitary wave solutions of the nonlinear approximate equations with long waves in shallow water by using the hyperbola function method.
用双曲函数法，成功得到了非线性浅水长波近似方程组的精确孤立波解。
The exact solutions to dispersive long-wave equations are obtained by a polynomial expansion method based on the idea of the homogeneous balance method.
基于齐次平衡法的思想，利用多项式展开法解得了具有色散项的长波方程组的精确解。
Applying the modified extended tanh-function methods, many types of new explicit traveling wave solutions of the (2 + 1) dimensional long wave-short wave resonance interaction equations are obtained.
利用扩展的双曲正切函数法获得了(2 +1)维长波短波共振相互作用方程的多组新显式精确行波解。
The model and equations used for measuring the seismic effects of traveling wave onto long span bridges are derived and established, during the course of which the large mass method is utilized.
运用大质量法，建立并推导了长大跨度桥梁考虑行波效应的分析模型及解析方程。
The model and equations used for measuring the seismic effects of traveling wave onto long span bridges are derived and established, during the course of which the large mass method is utilized.
运用大质量法，建立并推导了长大跨度桥梁考虑行波效应的分析模型及解析方程。
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