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.
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页数：11
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