Propagation of traveling wave solutions to the Vakhnenko-Parkes dynamical equation via modified mathematical methods

被引：5

作者：

Seadawy, Aly R. ^{[1
]}

Ali, Asghar ^{[2
]}

Albarakati, Wafaa A. ^{[3
]}

Baleanu, Dumitru ^{[4
]}

机构：

[1] Taibah Univ, Fac Sci, Math Dept, Al Madinah Al Munawarah, Saudi Arabia

[2] Univ Educ, Math Dept, Multan Campus, Lahore, Pakistan

[3] King Abdulaziz Univ, Fac Sci, Math Dept, Jeddah, Saudi Arabia

[4] Cankaya Univ, Dept Math, Ankara, Turkey

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2022年 / 37卷 / 01期

关键词：

Vakhnenko-Parkes equation (VPE); generalized direct algebraic method; extended simple equation method; modified F-expansion method; NONLINEAR SCHRODINGER-EQUATION; EVOLUTION-EQUATIONS; SOLITON-SOLUTIONS; PHASE-SHIFT; INSTABILITY; BRIGHT;

D O I：

10.1007/s11766-022-4056-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate some new traveling wave solutions to Vakhnenko-Parkes equation via three modified mathematical methods. The derived solutions have been obtained including periodic and solitons solutions in the form of trigonometric, hyperbolic, and rational function solutions. The graphical representations of some solutions by assigning particular values to the parameters under prescribed conditions in each solutions and comparing of solutions with those gained by other authors indicate that these employed techniques are more effective, efficient and applicable mathematical tools for solving nonlinear problems in applied science.

引用

页码：21 / 34

页数：14

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