hyperbolic function 双曲函数 ; 双曲线函数 ; 双曲函数法 ; 双曲正切函数 elliptic function 椭圆函数 ; 椭圆函数波 ; 椭圆函数的 .
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扩展的双曲函数法 extended hyperbolic functions method
扩展的双曲正切函数法 the extended tanh function method
双曲正切函数方法 hyperbolic tangent function method
对双曲函数法进行了探讨，且对其进行了推广。
We studied the hyperbola function method and generalized it.
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。
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.
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。
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.
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