广义超弹性杆波方程的行波解

Abstract

Abstract:

In this paper, we study the generalized hyperelastic-rod wave equation. We changed the generalized hyperelastic-rod wave equation into a complex differential equation by using traveling wave transform and show that meromorphic solutions of the complex differential equation belong to the class W by the weak $\left\langle {h, k} \right\rangle$ condition and the Fuchs index. Furthermore, we find out all meromorphic solutions of the complex differential equation, then we obtain the traveling wave solutions of the generalized hyperelastic-rod wave equation. We can apply the idea of this study to some related mathematical physics equations.

Key words: Generalized hyperelastic-rod wave equation, Differential equation, Elliptic function, Meromorphic function

CLC Number:

O174.52

Yongyi Gu,Wenjun Yuan,Yonghong Wu. Traveling Wave Solutions of the Generalized Hyperelastic-Rod Wave Equation[J].Acta mathematica scientia,Series A, 2019, 39(6): 1342-1351.

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References 15

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Traveling Wave Solutions of the Generalized Hyperelastic-Rod Wave Equation

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