N-soliton solutions to the modified Boussinesq equation

2009 ◽  
Vol 13 (6) ◽  
pp. 497-500
Author(s):  
Qiong Li ◽  
Tie-cheng Xia ◽  
Deng-yuan Chen
Keyword(s):  
Boussinesq Equation ◽  
Soliton Solutions ◽  
Modified Boussinesq Equation

On soliton solutions of the (2+1) dimensional Boussinesq equation

2012 ◽  
Vol 219 (8) ◽  
pp. 3414-3419 ◽  
Author(s):  
A.S. Abdel Rady ◽  
E.S. Osman ◽  
Mohammed Khalfallah
Keyword(s):  
Boussinesq Equation ◽  
Soliton Solutions

scholarly journals A variational approach for soliton solutions of good Boussinesq equation

2010 ◽  
Vol 22 (4) ◽  
pp. 205-208 ◽  
Author(s):  
Ahmet Yıldırım ◽  
Syed Tauseef Mohyud-Din
Keyword(s):  
Variational Approach ◽  
Boussinesq Equation ◽  
Soliton Solutions

The integrable Boussinesq equation and it’s breather, lump and soliton solutions

2022 ◽  
Author(s):  
Sachin Kumar ◽  
Sandeep Malik ◽  
Hadi Rezazadeh ◽  
Lanre Akinyemi
Keyword(s):  
Boussinesq Equation ◽  
Soliton Solutions

scholarly journals Regarding New Wave Patterns of the Newly Extended Nonlinear (2+1)-Dimensional Boussinesq Equation with Fourth Order

Mathematics ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 341 ◽  
Author(s):  
Juan Luis García Guirao ◽  
Haci Mehmet Baskonus ◽  
Ajay Kumar
Keyword(s):  
Fourth Order ◽  
Boussinesq Equation ◽  
Soliton Solutions ◽  
Expansion Method ◽  
Bright Soliton ◽  
New Wave ◽  
Wave Patterns

This paper applies the sine-Gordon expansion method to the extended nonlinear (2+1)-dimensional Boussinesq equation. Many new dark, complex and mixed dark-bright soliton solutions of the governing model are derived. Moreover, for better understanding of the results, 2D, 3D and contour graphs under the strain conditions and the suitable values of parameters are also plotted.

SOLITON INTERACTIONS FOR THE GENERALIZED (3+1)-DIMENSIONAL BOUSSINESQ EQUATION

2012 ◽  
Vol 26 (07) ◽  
pp. 1250062 ◽  
Author(s):  
XIAO-LING GAI ◽  
YI-TIAN GAO ◽  
XIN YU ◽  
ZHI-YUAN SUN
Keyword(s):  
Soliton Solution ◽  
Boussinesq Equation ◽  
Soliton Solutions ◽  
Analytic Solutions ◽  
Propagation Process ◽  
Soliton Propagation ◽  
Soliton Interactions ◽  
Pass Through ◽  
The Moment ◽  
The One

Generalized (3+1)-dimensional Boussinesq equation is investigated in this paper. Through the dependent variable transformation and symbolic computation, the one- and two-soliton solutions are obtained. With the one-soliton solution, the coefficient effects in the soliton propagation process are investigated. Through analyzing the two-soliton solution, two kinds of two-soliton interactions are presented: (i) Two solitons merge into a bigger one whose amplitude increases but does not exceed the sum of the two at the moment of the collision; (ii) Two solitons can pass through each other, and their shapes keep unchanged with a phase shift after the separation. In addition, two kinds of analytic solutions are discussed: (i) "Amplitudes" of the two analytic solutions immediately turn to negative (positive) infinity after the "collision"; (ii) Two analytic solutions are fused into a higher peak (valley) at the moment of "collision", whose "amplitudes" change to negative (positive) infinity after the separation.

Soliton Solutions of Wronskian Form to the Nonlocal Boussinesq Equation

1996 ◽  
Vol 65 (2) ◽  
pp. 383-388 ◽  
Author(s):  
Ignace Loris ◽  
Ralph Willox
Keyword(s):  
Boussinesq Equation ◽  
Soliton Solutions
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