Optical solutions for the (3+1)-dimensional YTSF equation

被引:18
作者
Cevikel, Adem C. [1 ]
机构
[1] Yildiz Tehcn Univ, Art & Sci Fac, Dept Math, Istanbul, Turkiye
关键词
Exact solutions; The (3+1)-dimensional YTSFE; Nonlinear wave equations; Solitons; NONLINEAR PHYSICAL MODELS; SOLITARY WAVE SOLUTIONS; PERIODIC-SOLUTIONS; SOLITONS;
D O I
10.1007/s11082-023-04787-9
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Nonlinear Yu-Toda-Sassa-Fukuyama equation (YTSFE) exhibit significant a fluid dynamics, plasma physics and weakly dispersive media. In this study, we given solutions to (3+1)-dimensional YTSF equation representing the wave propagation through incompressible fluids. We found the exact solutions of the high-dimensional YTSF equation. We obtained new exact solutions of the (3+1)-dimensional nonlinear Yu-Toda-Sassa-Fukuyama equation, which are not available in the literature, using three different methods. This solutions of this equation have not been found in the literature until now.
引用
收藏
页数:12
相关论文
共 23 条
[1]   Study on Fractional Differential Equations with Modified Riemann-Liouville Derivative via Kudryashov Method [J].
Aksoy, Esin ;
Bekir, Ahmet ;
Cevikel, Adem C. .
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2019, 20 (05) :511-516
[2]   Soliton solutions of the (3+1)-dimensional Yu-Toda-Sassa-Fukuyama equation by the new approach and its numerical solutions [J].
Bekir, Ahmet ;
Zahran, Emad H. M. ;
Guner, Ozkan .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2021, 35 (02)
[3]   The Exp-function Method for Some Time-fractional Differential Equations [J].
Bekir, Ahmet ;
Guner, Ozkan ;
Cevikel, Adem .
IEEE-CAA JOURNAL OF AUTOMATICA SINICA, 2017, 4 (02) :315-321
[4]   Exact Solutions for Fractional Differential-Difference Equations by (G′/G)-Expansion Method with Modified Riemann-Liouville Derivative [J].
Bekir, Ahmet ;
Guner, Ozkan ;
Ayhan, Burcu ;
Cevikel, Adem C. .
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2016, 8 (02) :293-305
[5]   Bright and Dark Soliton Solutions of the (2+1)-Dimensional Evolution Equations [J].
Bekir, Ahmet ;
Cevikel, Adem C. ;
Guner, Ozkan ;
San, Sait .
MATHEMATICAL MODELLING AND ANALYSIS, 2014, 19 (01) :118-126
[6]   New solitons and periodic solutions for nonlinear physical models in mathematical physics [J].
Bekir, Ahmet ;
Cevikel, Adem C. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) :3275-3285
[7]   Solitary wave solutions of two nonlinear physical models by tanh-coth method [J].
Bekir, Ahmet ;
Cevikel, Adem C. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (05) :1804-1809
[8]  
Çevikel AC, 2021, REV MEX FIS, V67, P422, DOI [10.31349/RevMexFis.67.422, 10.31349/revmexfis.67.422]
[9]  
Cevikel A. C., 2022, FRONT PHYS-BEIJING, V26, P1
[10]   Assorted hyperbolic and trigonometric function solutions of fractional equations with conformable derivative in shallow water [J].
Cevikel, Adem C. ;
Bekir, Ahmet .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2023, 37 (09)