Analytical study of nonlinear water wave equations for their fractional solution structures

被引：7

作者：

Zafar, Asim ^{[1
]}

Inc, Mustafa ^{[2
,3
,4
]}

Shakeel, Muhammad ^{[1
]}

Mohsin, Muhammad ^{[1
]}

机构：

[1] COMSATS Univ, Dept Math, Vehari Campus, Islamabad, Pakistan

[2] Biruni Univ, Dept Comp Engn, Istanbul, Turkey

[3] Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkey

[4] China Med Univ Taichung, Dept Med Res, Taichung, Taiwan

来源：

MODERN PHYSICS LETTERS B | 2022年 / 36卷 / 14期

关键词：

Zakharov-Kuznetsov-Burgers equation; Yu-Toda-Sasa-Fukuyama equation; wave solutions; GENERAL SOLITON-SOLUTIONS; DIRECT ALGEBRAIC-METHOD; DIFFERENTIAL-EQUATIONS; OPTICAL SOLITONS; EVOLUTION;

D O I：

10.1142/S0217984922500713

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

This paper examines the three-dimensional nonlinear time-fractional water wave equations for their analytical wave solutions. These are the equations of the names (3 + 1)-Zakharov-Kuznetsov-Burgers equation and (3+1)-Yu-Toda-Sasa-Fukuyama equation. The obtained wave solutions are in the form of kink, periodic and singular waves by utilizing the (G'/G(2))-expansion approach. The aforesaid solutions are verified and demonstrated graphically via symbolic soft computations.

引用

页数：10

共 50 条

[41] Local fractional analytical methods for solving wave equations with local fractional derivative
Hemeda, A. A.
Eladdad, E. E.
Lairje, I. A.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (06) : 2515 - 2529
[42] Exploring soliton solutions in nonlinear spatiotemporal fractional quantum mechanics equations: an analytical study
Rashid Ali
Zhao Zhang
Hijaz Ahmad
Optical and Quantum Electronics, 56
[43] On a backward problem for nonlinear time fractional wave equations
He, Jia Wei
Zhou, Yong
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2022, 152 (06) : 1589 - 1612
[44] Nonlinear acoustic wave equations with fractional loss operators
Prieur, Fabrice
Holm, Sverre
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2011, 130 (03): : 1125 - 1132
[45] ON THE EXISTENCE AND UNIQUENESS OF SOLUTION OF A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
Darzi, R.
Mohammadzadeh, B.
Neamaty, A.
Baleanu, D.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (01) : 152 - 162
[46] SOLVABILITY OF A SOLUTION AND CONTROLLABILITY FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
Imad, Rezzoug
Taki-Eddine, Oussaeif
Abdelouahab, Benbrahim
BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2020, 15 (03): : 237 - 249
[47] Compact and noncompact structures for nonlinear fractional evolution equations
Odibat, Zaid M.
PHYSICS LETTERS A, 2008, 372 (08) : 1219 - 1227
[48] Positivity of the fundamental solution for fractional diffusion and wave equations
Kemppainen, Jukka
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (03) : 2468 - 2486
[49] Analytical Approach for Nonlinear Partial Differential Equations of Fractional Order
Roul, Pradip
COMMUNICATIONS IN THEORETICAL PHYSICS, 2013, 60 (03) : 269 - 277
[50] ANALYTICAL TECHNIQUES FOR SYSTEM OF TIME FRACTIONAL NONLINEAR DIFFERENTIAL EQUATIONS
Choi, Junesang
Kumar, Devendra
Singh, Jagdev
Swroop, Ram
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2017, 54 (04) : 1209 - 1229

← 1 2 3 4 5 →