scholarly journals On complex wave structures related to the nonlinear long–short wave interaction system: Analytical and numerical techniques

AIP Advances ◽  
2020 ◽  
Vol 10 (4) ◽  
pp. 045212 ◽  
Author(s):  
C. Yue ◽  
A. Elmoasry ◽  
M. M. A. Khater ◽  
M. S. Osman ◽  
R. A. M. Attia ◽  
...  
Keyword(s):  
Wave Interaction ◽  
Short Wave ◽  
Numerical Techniques ◽  
Interaction System ◽  
Complex Wave

scholarly journals On the exact solitary wave solutions to the long-short wave interaction system

2018 ◽  
Vol 22 ◽  
pp. 01063
Author(s):  
Haci Mehmet Baskonus ◽  
Tukur Abdulkadir Sulaiman ◽  
Hasan Bulut
Keyword(s):  
Solitary Wave ◽  
Wave Interaction ◽  
Expansion Method ◽  
Short Wave ◽  
Complex Model ◽  
Solitary Wave Solutions ◽  
Short Transverse ◽  
Wave Solutions ◽  
Interaction System ◽  
2D And 3D

In this paper, the application of the simplified the extended sinh-Gordon equation expansion method to the long-short-wave interaction system. We successfully construct various solitary wave solutions to this nonlinear complex model. The long-short-wave interaction system describes the interaction between one long longitudinal wave and one short transverse wave propagating in a generalized elastic medium. The 2D and 3D surfaces to some of the obtained solutions are plotted.

scholarly journals Approximate Simulations for the Non-linear Long-Short Wave Interaction System

2020 ◽  
Vol 7 ◽  
Author(s):  
Haiyong Qin ◽  
Mostafa M. A. Khater ◽  
Raghda A. M. Attia ◽  
Dianchen Lu
Keyword(s):  
Wave Interaction ◽  
Short Wave ◽  
Interaction System ◽  
Non Linear

scholarly journals The new soliton solutions for long and short-wave interaction system

2021 ◽  
Author(s):  
Sayyed Masood Zekavatmand ◽  
Hadi Rezazadeh ◽  
Mustafa Inc ◽  
Javad Vahidi ◽  
Mohammad Bagher Ghaemi
Keyword(s):  
Soliton Solutions ◽  
Wave Interaction ◽  
Short Wave ◽  
Interaction System

scholarly journals Disturbance solutions for the long–short-wave interaction system using bi-random Riccati–Bernoulli sub-ODE method

2020 ◽  
Vol 14 (1) ◽  
pp. 500-506 ◽  
Author(s):  
Yousef F. Alharbi ◽  
Mahmoud A.E. Abdelrahman ◽  
M.A. Sohaly ◽  
Sherif I. Ammar
Keyword(s):  
Wave Interaction ◽  
Short Wave ◽  
Interaction System ◽  
Ode Method

On the exact solutions to the long—short-wave interaction system

2014 ◽  
Vol 23 (2) ◽  
pp. 020201 ◽  
Author(s):  
Hui-Ling Fan ◽  
Xue-Fei Fan ◽  
Xin Li
Keyword(s):  
Exact Solutions ◽  
Wave Interaction ◽  
Short Wave ◽  
Interaction System

On the classification of conservation laws and soliton solutions of the long short-wave interaction system

2018 ◽  
Vol 32 (18) ◽  
pp. 1850202 ◽  
Author(s):  
Mustafa Inc ◽  
Aliyu Isa Aliyu ◽  
Abdullahi Yusuf ◽  
Dumitru Baleanu
Keyword(s):  
Conservation Laws ◽  
Nonlinear Partial Differential Equations ◽  
Soliton Solutions ◽  
Wave Interaction ◽  
Expansion Method ◽  
Short Wave ◽  
Short Transverse ◽  
Interaction System ◽  
Conservation Theorem

In this paper, the classification of conservation laws (Cls) of the long short-wave interaction system (LSWS) which appears in fluid mechanics as well as plasma physics is implemented using two Cls theorems, namely, the multipliers approach and the new conservation theorem. The LSWS describes the interaction between one long longitudinal wave and one short transverse wave propagating in a generalized elastic medium. The zeroth-order multipliers and the nonlinear self-adjoint substitutions of the model are derived. Considering the fact that the new conservation theorem needs Lie point symmetries in constructing Cls, we derive the point symmetries of a system of nonlinear partial differential equations (NPDEs) acquired by transforming the model into real and imaginary components. Moreover, we derive some kink-type, bell-shaped, singular and combined soliton solutions to the model using the powerful sine-Gordon expansion method (SGEM). Some figures are presented to show the physical interpretations of the acquired results.

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