On traveling wave solutions: The Wu-Zhang system describing dispersive long waves

被引：40

作者：

Awan, A. U. ^{[1
]}

Tahir, M. ^{[1
]}

Rehman, H. U. ^{[2
]}

机构：

[1] Univ Punjab, Dept Math, Lahore, Pakistan

[2] Univ Okara, Dept Math, Okara, Pakistan

来源：

MODERN PHYSICS LETTERS B | 2019年 / 33卷 / 06期

关键词：

Wu-Zhang system; generalized (G&PRIME/G) expansion method; traveling wave solutions; Jacobi elliptic functions; MODIFIED SIMPLE EQUATION; TANH-FUNCTION METHOD; GENERALIZED (G'/G)-EXPANSION METHOD; PARTIAL-DIFFERENTIAL-EQUATIONS; NONLINEAR EVOLUTION-EQUATIONS; EXPANSION METHOD; SOLITON SOLUTIONS; FLOW; EXP;

D O I：

10.1142/S0217984919500593

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, we construct exact families of traveling wave (periodic wave, solitary wave, shock wave, singular-wave, singular-periodic wave, and singular-solitary wave) solutions of a well-known system of nonlinear PDEs, the Wu-Zhang system, which describes (1 + 1)-dimensional dispersive long waves. This system is solved by using the generalized (G'/G) expansion method, where G satisfies the Jacobi elliptic equation of fourth order. Meanwhile, the mechanical features of some families are explained through three-dimensional figures.

引用

页数：11

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