SOLITARY WAVE SOLUTIONS OF SPACE TIME FDES USING THE GENERALIZED KUDRYASHOV METHOD

2015 ◽  
Vol 42 ◽  
Keyword(s):  
Solitary Wave ◽  
Space Time ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
Generalized Kudryashov Method ◽  
Kudryashov Method

scholarly journals SOLITARY WAVE SOLUTIONS FOR SPACE-TIME FRACTIONAL COUPLED INTEGRABLE DISPERSIONLESS SYSTEM VIA GENERALIZED KUDRYASHOV METHOD

2021 ◽  
pp. 1439
Author(s):  
Ahmed Gaber ◽  
Hijaz Ahmad
Keyword(s):  
Solitary Wave ◽  
Fractional Derivative ◽  
Exact Solutions ◽  
Space Time ◽  
Solitary Wave Solutions ◽  
Numerical Tests ◽  
Wave Solutions ◽  
Generalized Kudryashov Method ◽  
Kudryashov Method ◽  
Fractional System

In this article, space-time fractional coupled integrable dispersionless system is considered, and we use fractional derivative in the sense of modified Riemann-Liouville. The fractional system has reduced to an ordinary differential system by fractional transformation and the generalized Kudryashov method is applied to obtain exact solutions. We also testify performance as well as precision of the applied method by means of numerical tests for obtaining solutions. The obtained results have been graphically presented to show the properties of the solutions.

scholarly journals On the Exact Solitary Wave Solutions to the New ( 2 + 1 ) and ( 3 + 1 )-Dimensional Extensions of the Benjamin-Ono Equations

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Lan Wu ◽  
Xiao Zhang ◽  
Jalil Manafian
Keyword(s):  
Solitary Wave ◽  
Exact Solutions ◽  
Nonlinear Models ◽  
Mathematical Physics ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
Kudryashov Method ◽  
New Equation

In this paper, the Kudryashov method to construct the new exact solitary wave solutions for the newly developed ( 2 + 1 )-dimensional Benjamin-Ono equation is successfully employed. In the same vein, also the new ( 2 + 1 )-dimensional Benjamin-Ono equation to ( 3 + 1 )-dimensional spaces is extended and then analyzed and investigated. Different forms of exact solitary wave solutions to this new equation were also determined. Graphical illustrations for certain solutions in both equations are provided. We alternatively offer that the determining method is general, impressive, outspoken, and powerful and can be exerted to create exact solutions of various kinds of nonlinear models originated in mathematical physics and engineering.

scholarly journals Solitary Wave Solutions for Some Fractional Evolution Equations via New Kudryashov Approach

2021 ◽  
Vol 68 (1 Jan-Feb) ◽  
Author(s):  
Serife Muge Ege
Keyword(s):  
Solitary Wave ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Dimensional Space ◽  
Solitary Wave Solutions ◽  
Wave Solutions ◽  
Kudryashov Method ◽  
Dimensional Space Time ◽  
Fifth Order ◽  
Physical Phenomena

In this work, we construct solitary wave solutions of a nonlinear evolution equation in the physical phenomena of waves;namely the time-fractional fifth-order Sawada-Kotera equation and the (4+1)-dimensional space-time fractional Fokas equation by Kudryashov method with a new function. As a result, new types of exact analytical solutions are obtained. Here the fractional derivative is described in beta sense.  

scholarly journals Solitary Wave Solutions of Chafee-Infante Equation and (2+1)-Dimensional Breaking Soliton Equation by the Improved Kudryashov Method

2019 ◽  
pp. 35-41
Author(s):  
Umme Habiba ◽  
Md. Abdus Salam ◽  
Md. Babul Hossain ◽  
Mousumi Datta
Keyword(s):  
Exact Solution ◽  
Solitary Wave ◽  
Graphical Representations ◽  
Mathematical Tool ◽  
Solitary Wave Solutions ◽  
Mathematical Software ◽  
Soliton Equation ◽  
Wave Solutions ◽  
Kudryashov Method

In this paper, we apply the improved Kudryashov method for finding exact solution and then solitary wave solutions of the Chafee-Infante equation and (2+1)-dimensional breaking soliton equation, where mathematical software Maple-13 is used as an important mathematical tool for removing calculation complexity, justification of the solutions and its graphical representations.

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