General soliton solutions to a nonlocal long-wave–short-wave resonance interaction equation with nonzero boundary condition

2018 ◽  
Vol 92 (3) ◽  
pp. 1369-1377 ◽  
Author(s):  
Baonan Sun
Keyword(s):  
Boundary Condition ◽  
Soliton Solutions ◽  
Short Wave ◽  
Resonance Interaction ◽  
Long Wave ◽  
Wave Resonance ◽  
Interaction Equation ◽  
Nonzero Boundary ◽  
Nonzero Boundary Condition

Interaction of the variable-coefficient long-wave–short-wave resonance interaction equations

2019 ◽  
Vol 33 (01) ◽  
pp. 1850426
Author(s):  
Hui-Xian Jia ◽  
Da-Wei Zuo
Keyword(s):  
Gravity Waves ◽  
Acoustic Waves ◽  
Variable Coefficient ◽  
Soliton Solutions ◽  
Short Wave ◽  
Resonance Interaction ◽  
Bilinear Method ◽  
Ion Acoustic Waves ◽  
Long Wave ◽  
Wave Resonance

Long-wave–short-wave resonance interaction (LSRI) equations have been studied in the plasmas, gravity waves, nonlinear electron-plasma and ion-acoustic waves. By virtue of the bilinear method, two soliton solutions of the variable-coefficient LSRI equations are attained. Interaction of the solitons are studied when the coefficients are taken as the generalized Gauss functions. New types of the soliton interaction are exhibited. Position and width of the disturbances can be controlled.

scholarly journals Periodic and localized solutions of the long wave–short wave resonance interaction equation

2005 ◽  
Vol 38 (44) ◽  
pp. 9649-9663 ◽  
Author(s):  
R Radha ◽  
C Senthil Kumar ◽  
M Lakshmanan ◽  
X Y Tang ◽  
S Y Lou
Keyword(s):  
Short Wave ◽  
Resonance Interaction ◽  
Localized Solutions ◽  
Long Wave ◽  
Wave Resonance ◽  
Interaction Equation

scholarly journals ATTRACTOR FOR THE NON-AUTONOMOUS LONG WAVE-SHORT WAVE RESONANCE INTERACTION EQUATION WITH DAMPING

2020 ◽  
Vol 10 (3) ◽  
pp. 1149-1169
Author(s):  
Ranran Liu ◽  
◽  
Hui Liu ◽  
Jie Xin ◽  
◽  
...  
Keyword(s):  
Short Wave ◽  
Resonance Interaction ◽  
Long Wave ◽  
Wave Resonance ◽  
Interaction Equation

Application of the Weierstrass Elliptic Expansion Method to the Long-Wave and Short-Wave Resonance Interaction System

2008 ◽  
Vol 63 (5-6) ◽  
pp. 273-279 ◽  
Author(s):  
Xian-Jing Lai ◽  
Jie-Fang Zhang ◽  
Shan-Hai Mei
Keyword(s):  
Periodic Solutions ◽  
Elliptic Function ◽  
Expansion Method ◽  
Short Wave ◽  
Resonance Interaction ◽  
Solitary Wave Solutions ◽  
Jacobian Elliptic Function ◽  
Weierstrass Elliptic Function ◽  
Long Wave ◽  
Wave Resonance

With the aid of symbolic computation, nine families of new doubly periodic solutions are obtained for the (2+1)-dimensional long-wave and short-wave resonance interaction (LSRI) system in terms of the Weierstrass elliptic function method. Moreover Jacobian elliptic function solutions and solitary wave solutions are also given as simple limits of doubly periodic solutions.

scholarly journals Dynamics of solitons in multicomponent long wave–short wave resonance interaction system

Pramana ◽  
2015 ◽  
Vol 84 (3) ◽  
pp. 327-338 ◽  
Author(s):  
T KANNA ◽  
K SAKKARAVARTHI ◽  
M VIJAYAJAYANTHI ◽  
M LAKSHMANAN
Keyword(s):  
Short Wave ◽  
Resonance Interaction ◽  
Long Wave ◽  
Interaction System ◽  
Wave Resonance
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