[PDF] Top 20 New explicit and Soliton Wave Solutions of Some Nonlinear Partial Differential Equations with Infinite Series Method
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New explicit and Soliton Wave Solutions of Some Nonlinear Partial Differential Equations with Infinite Series Method
... Investigation of solutions to nonlinear evolution has become an interesting subject in nonlinear science field. Moreover, while conducting experiments to determine the most efficient design for canal ... See full document
6
Closed Form Wave Solutions to the Nonlinear Partial Differential Equations via the Rational Expansion Method
... Nonlinear partial differential equations (NPDEs) are widely used to describe complex phenomena in various fields including either the scientific works or engineering fields, such as fluid ... See full document
9
Modified F-Expansion Method Applied to Coupled System of Equation
... expansion method for generating traveling wave solutions of nonlinear partial differential equation ...the method is that it is independent of the integrability of the ... See full document
8
Soliton solutions,Kink and antikink of the Gerdjikov-Ivanov equation
... various nonlinear equations that govern propagation of the wave ...the nonlinear partial differential equation (PDEs) are widely used to investigate exact solutions and ... See full document
9
New Solitary Wave Solutions for Some Non-linear Partial Differential Equations
... periodic wave solutions with the use of the Tanh and Sech ...the method will lead to a deeper and more comprehensive understanding of the complex structure of the nonlinear partial ... See full document
11
Explicit Jacobi elliptic exact solutions for nonlinear partial fractional differential equations
... the nonlinear partial fractional differential equations such as those in [, ...algebraic method for nonlinear partial differential equations to obtain a series of ... See full document
14
Study of Nonlinear Evolution Equations to Construct Traveling Wave Solutions via the New Approach of the Generalized (G'/G) Expansion Method
... travelling wave solutions for nonlinear partial differential equations plays an important role in the study of nonlinear physical ...phenomena. Nonlinear ... See full document
11
Soliton solution for nonlinear partial differential equations by the (G'/G )-expansion method and its applications
... proposed method gives more general exact solutions for four different types of nonlinear partial differential equations such as the modified regularized long wave ... See full document
13
New Exact Travelling Differential Equations by Using Tanh Method
... of nonlinear partial differential equation is current research in Applied ...introduce new exact solutions for some nonlinear partial differential ... See full document
5
Classification of All Single Traveling Wave Solutions to (3 + 1) Dimensional Breaking Soliton Equation
... with nonlinear partial differential equations (PDEs), many methods have been de- ...polynomial method has been proposed by Liu [1]-[5]. By Liu’s method, we can obtain the ... See full document
5
Topological soliton solutions of the some nonlinear partial differential equations
... 1-soliton solutions of the symmetric regularized long wave (SRLW) equation and the (3+1)-dimensional shallow water wave ...Solitary wave ansatz method is used to carry out the ... See full document
16
On Global Generalized Solution for a Generalized Zakharov Equations
... traveling wave solutions of the (3 + 1) dimensional Kadomtsev-Petviashvili (KP) equation,” IAENG Interna- tional Journal of Applied Mathematics, ...“Exact solutions for three fractional ... See full document
5
Tan-Cot Function Method to Solve New Coupled ZK and mKdV Systems
... traveling wave solutions by using the Tan-Cot function algorithm were established for solving nonlinear partial differential ...The method was used to obtain new solitary ... See full document
5
The First Integral Method for Solving Maccari’s System
... of differential equ- ations [1], if one can find two first integrals to system (4) under the same conditions, then analytic solutions to (4) can be solved ... See full document
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Vol 2, No 8 (2011)
... solitary wave solutions [1- 5] to non linear coupled differential equations, but there is no particular rule to obtain exact solution for nonlinear coupled differential ... See full document
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On closed form solutions of some nonlinear partial differential equations
... [3] J. D. Buckmaster and G. S. S. Ludford, Theory of Laminar Flames, Cambridge Mono- graphs on Mechanics and Applied Mathematics, Cambridge University Press, Cam- bridge, New York, 1982, Electronic & ... See full document
8
Dark soliton and periodic wave solutions of nonlinear evolution equations
... ansatz method will be used to carry out the integration of the Kudryashov-Sinelshchikov and Jimbo-Miwa ...shock wave solu- ...both equations, arbi- trary constant coefficients will be ... See full document
11
Nonlinear Bending Analysis of Sector Graphene Sheet Embedded in Elastic Matrix Based on Nonlocal Continuum Mechanics
... DQ Method, the derivatives of a two dimensional function f(r,θ) at points r, θ can be defined as a linear sum of the function values [18, ...This method distributes points in unequal distances in a way that ... See full document
10
NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS, THEIR SOLUTIONS, AND PROPERTIES
... di↵erential equations, need special investigation that relies on the use of mathematical analysis and a range of related proof ...di↵erential equations would not be possible to obtain without the use of ... See full document
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Vol 9, No 1 (2018)
... H o (7) When p=0, Eqn. (4) and Eqn. (5) become linear equations. When p =1, they become non-linear equations. The process of changing p from zero to unity is that of L ( v ) − L ( u 0 ) = 0 to D o ( v ) − f ... See full document
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