scholarly journals Soliton Solution for the BBM and MRLW Equations by Cosine-function Method

2012 ◽  
Vol 1 (2) ◽  
pp. 59-61 ◽  
Author(s):  
Rajan Arora ◽  
Anoop Kumar
Keyword(s):  
Soliton Solution ◽  
Function Method ◽  
Cosine Function

Optical solitons in nonlinear directional couplers by sine–cosine function method and Bernoulli’s equation approach

2015 ◽  
Vol 81 (4) ◽  
pp. 1933-1949 ◽  
Author(s):  
Mohammad Mirzazadeh ◽  
Mostafa Eslami ◽  
Essaid Zerrad ◽  
Mohammad F. Mahmood ◽  
Anjan Biswas ◽  
...  
Keyword(s):  
Function Method ◽  
Optical Solitons ◽  
Cosine Function ◽  
Equation Approach ◽  
Directional Couplers ◽  
Bernoulli’S Equation

OPTICAL SOLITON SOLUTIONS OF THE LONG-SHORT-WAVE INTERACTION SYSTEM

2013 ◽  
Vol 22 (02) ◽  
pp. 1350015 ◽  
Author(s):  
AHMET BEKIR ◽  
ESIN AKSOY ◽  
ÖZKAN GÜNER
Keyword(s):  
Soliton Solution ◽  
Function Method ◽  
Soliton Solutions ◽  
Wave Interaction ◽  
Short Wave ◽  
Optical Soliton ◽  
Physical Parameters ◽  
Ansatz Method ◽  
Topological Soliton ◽  
Dependent Model

This paper, studies the long-short-wave interaction (LS) equation. An optical soliton solution is obtained by the exp-function method and the ansatz method. Subsequently, we formally derive the dark (topological) soliton solutions for this equation. By using the exp-function method, some additional solutions will be derived. The physical parameters in the soliton solutions of ansatz method: amplitude, inverse width, and velocity are obtained as functions of the dependent model coefficients.

scholarly journals Exact solutions of the 2+1-dimensional Camassa–Holm Kadomtsev–Petviashvili equation

2012 ◽  
Vol 17 (3) ◽  
pp. 280-296 ◽  
Author(s):  
Ghodrat Ebadi ◽  
Nazila Yousefzadeh Fard ◽  
Houria Triki ◽  
Anjan Biswas
Keyword(s):  
Exact Solutions ◽  
Exponential Function ◽  
Soliton Solution ◽  
Function Method ◽  
Ansatz Method ◽  
Topological Soliton ◽  
Petviashvili Equation ◽  
Exponential Function Method

This paper studies the (2 + 1)-dimensional Camassa–Holm Kadomtsev–Petviashvili equation. There are a few methods that will be utilized to carry out the integration of this equation. Those are the G'/G method as well as the exponential function method. Subsequently, the ansatz method will be applied to obtain the topological soliton solution of this equation. The constraint conditions, for the existence of solitons, will also fall out of these.

A Generalized Soliton Solution of the Konopelchenko-Dubrovsky Equation using He’s Exp-Function Method

2007 ◽  
Vol 62 (12) ◽  
pp. 685-688 ◽  
Author(s):  
Fei Xu
Keyword(s):  
Soliton Solution ◽  
Function Method ◽  
Computer Modelling ◽  
Generalized Solution ◽  
Suitable Choice ◽  
Free Parameters

In this paper, J. H. He’s exp-function method is used to obtain a generalized soliton solution with some free parameters of the Konopelchenko-Dubrovsky equation. Suitable choice of parameters in the generalized solution leads to Wazwaz’s solution [Mathematical and Computer Modelling 45, 473 (2007)]. The result shows that He’s method is very effective and convenient.

scholarly journals New multi-soliton solutions for generalized Burgers-Huxley equation

2013 ◽  
Vol 17 (5) ◽  
pp. 1486-1489 ◽  
Author(s):  
Jun Liu ◽  
Hong-Ying Luo ◽  
Gui Mu ◽  
Zhengde Dai ◽  
Xi Liu
Keyword(s):  
Soliton Solution ◽  
Function Method ◽  
Soliton Solutions ◽  
Huxley Equation

The double exp-function method is used to obtain a two-soliton solution of the generalized Burgers-Huxley equation. The wave has two different velocities and two different frequencies.

scholarly journals New exact solution of coupled general equal width wave equation using sine-cosine function method

2017 ◽  
Vol 25 (3) ◽  
pp. 350-354 ◽  
Author(s):  
K.R. Raslan ◽  
Talaat S. EL-Danaf ◽  
Khalid K. Ali
Keyword(s):  
Exact Solution ◽  
Wave Equation ◽  
Function Method ◽  
Cosine Function
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