On Survey of the Some Wave Solutions of the Non-Linear Schrodinger Equation (NLSE) in Infinite Water Depth

被引：13

作者：

Yazgan, Tugba ^{[1
]}

Yel, Gulnur ^{[2
]}

Celik, Ercan ^{[3
]}

Bulut, Hasan ^{[4
]}

机构：

[1] Ataturk Univ, Fac Sci, Dept Math, Erzurum, Turkiye

[2] Final Internatonal Univ, Dept Educ, Kyrenia Mersin, Turkiye

[3] Kyrgyz Turkish Manas Univ, Dept Appl Math & Informat, Bishkek, Kyrgyzstan

[4] Firat Univ, Fac Sci, Dept Math, Elazig, Turkiye

来源：

GAZI UNIVERSITY JOURNAL OF SCIENCE | 2023年 / 36卷 / 02期

关键词：

The sine-gordon expansion technique; The modified exp (-O(?))-expansion function technique; Conformable derivative; Non-linear schrodinger equation (NLSE); SOLITON;

D O I：

10.35378/gujs.1016160

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this work, we use two different analytic schemes which are the Sine-Gordon expansion technique and the modified exp (-O(?))-expansion function technique to construct novel exact solutions of the non-linear Schrodinger equation, describing gravity waves in infinite deep water, in the sense of conformable derivative. After getting various travelling wave solutions, we plot 3D, 2D and contour surfaces to present behaviours obtained exact solutions.

引用

页码：819 / 843

页数：25

共 13 条

[1] Darboux Transformation for Coupled Non-Linear Schrodinger Equation and Its Breather Solutions
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ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2017, 72 (01): : 9 - 15
[2] Exact Soliton Solutions to the Cubic-Quartic Non-linear Schrodinger Equation With Conformable Derivative
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[3] A meshfree approach for analysis and computational modeling of non-linear Schrodinger equation
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COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (02)
[4] Abundant exact solutions for the higher order non-linear Schrodinger equation with cubic-quintic non-Kerr terms
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Duan, Mianyi
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[5] Inverse scattering method and vector higher order non-linear Schrodinger equation
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[6] Exact solutions and Darboux transformation for the reverse space-time non-local fifth-order non-linear Schrodinger equation
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[7] Stability of stationary fronts in a non-linear wave equation with spatial inhomogeneity
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[8] Integrable local and non-local vector Non-linear Schrodinger Equation with balanced loss and gain
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PHYSICS LETTERS A, 2022, 448
[9] Some exact wave solutions to a variety of the Schrodinger equation with two nonlinearity laws and conformable derivative
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Rajhi, Ali A.
Anqi, Ali E.
RESULTS IN PHYSICS, 2021, 31
[10] SOME ANALYTICAL SOLUTIONS BY MAPPING METHODS FOR NON-LINEAR CONFORMABLE TIME-FRACTIONAL PHI-4 EQUATION
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THERMAL SCIENCE, 2019, 23 : S1815 - S1822

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