Optical solitons to the (1+2)-dimensional Chiral non-linear Schrodinger equation

被引:16
作者
Ozisik, Muslum [2 ]
Bayram, Mustafa [1 ]
Secer, Aydin [1 ,2 ]
Cinar, Melih [2 ,3 ]
Yusuf, Abdullahi [1 ]
Sulaiman, Tukur Abdulkadir [1 ]
机构
[1] Biruni Univ, Dept Comp Engn, Istanbul, Turkey
[2] Yildiz Tech Univ, Dept Math Engn, Istanbul, Turkey
[3] Yildiz Tech Univ, Grad Sch Sci & Engn, Istanbul, Turkey
关键词
Chiral nonlinear Schrodinger equation; Soliton solutions; Enhanced modified extended tanh expansion method; COMPLEX WAVE SOLUTIONS; BRIGHT; DARK;
D O I
10.1007/s11082-022-03938-8
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
In this paper, we have successfully extracted many analytic solutions for the (1+2)-dimensional Chiral non-linear Schrodinger equation (NLSE) by the enhanced modified extended tanh expansion method (eMETEM). The considered method is a recently enhanced version of the classical modified extended tanh expansion method. So, we have successfully extracted the abundant solutions of the (1+2)-dimensional Chiral NLSE. Using a computer algebra system program, we have verified that all derived solutions satisfy the Chiral NLSE. The plots of some solutions are demonstrated to explain the dynamics of the solutions. It is expected that the results of the paper might be helpful for future works in traveling wave theory.
引用
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页数:13
相关论文
共 32 条
[1]   Explicit solutions to the time-fractional generalized dissipative Kawahara equation [J].
Alquran, Marwan ;
Ali, Mohammed ;
Alshboul, Omar .
JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2024, 9 (04) :348-352
[2]   New topological and non-topological unidirectional-wave solutions for the modifie d-mixe d KdV equation and bidirectional-waves solutions for the Benjamin Ono equation using recent techniques [J].
Alquran, Marwan ;
Ali, Mohammed ;
Jadallah, Hammad .
JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2022, 7 (02) :163-169
[4]   Physical properties for bidirectional wave solutions to a generalized fifth-order equation with third-order time-dispersion term [J].
Alquran, Marwan .
RESULTS IN PHYSICS, 2021, 28
[5]   Accurate novel explicit complex wave solutions of the (2+1)-dimensional Chiral nonlinear Schrodinger equation [J].
Alshahrani, B. ;
Yakout, H. A. ;
Khater, Mostafa M. A. ;
Abdel-Aty, Abdel-Haleem ;
Mahmoud, Emad E. ;
Baleanu, Dumitru ;
Eleuch, Hichem .
RESULTS IN PHYSICS, 2021, 23
[6]   A relaxation scheme for the nonlinear Schrodinger equation [J].
Besse, C .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2004, 42 (03) :934-952
[7]  
Boyd R., 2003, NONLINEAR OPTICS, Vsecond, DOI [10.1016/B978-0-12-121682-5.X5000-7/, DOI 10.1016/B978-0-12-121682-5.X5000-7, 10.1016/B978-0-12-121682-5.X5000-7]
[8]   Dynamics of soliton solutions in the chiral nonlinear Schrodinger equations [J].
Bulut, Hasan ;
Sulaiman, Tukur Abdulkadir ;
Demirdag, Betul .
NONLINEAR DYNAMICS, 2018, 91 (03) :1985-1991
[9]   EXACT MULTISOLUTION SOLUTIONS OF SELF-INDUCED TRANSPARENCY AND SINE-GORDON EQUATIONS [J].
CAUDREY, PJ ;
GIBBON, JD ;
EILBECK, JC ;
BULLOUGH, RK .
PHYSICAL REVIEW LETTERS, 1973, 30 (06) :237-238
[10]   THE CAUCHY-PROBLEM FOR THE CRITICAL NONLINEAR SCHRODINGER-EQUATION IN HS [J].
CAZENAVE, T ;
WEISSLER, FB .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1990, 14 (10) :807-836