[PDF] Top 20 Exact travelling wave solutions for some complex nonlinear partial differential equations
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Exact travelling wave solutions for some complex nonlinear partial differential equations
... In this paper, the G G ′ -expansion is applied successfully for solving the Kundu- Eckhaus equation and derivative nonlinear Schr¨ odingers equation. The results show that this method is efficient in finding the ... See full document
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Topological soliton solutions of the some nonlinear partial differential equations
... In recent years, new exact solutions may help to find new phenomena. A vari- ety of powerfull methods, such as the tanh-sech method [25, 26, 40], extended tanh method [12, 13, 41], sine-cosine method [5, ... See full document
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On closed form solutions of some nonlinear partial differential equations
... 3. Nonlinear wave equation in two ...the wave equation in two variables if and only if θ(x,iy) is a solution of the Laplace equation in two ... See full document
8
Symmetry and double reduction for exact solutions of selected nonlinear partial differential equations
... In this thesis, Chapter One represents the basic direction of the research. Meanwhile, Chapter Two discusses the previous researches related to the topic focusing on how symmetry and conservation laws are obtained; hence ... See full document
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The Basic (G'/G) Expansion Method for the Fourth Order Boussinesq Equation
... ordinary differential equation is imple- mented to investigate the fourth order Boussinesq equa- tion involving ...obtained solutions are presented through the hyperbolic functions, the trigono- metric ... See full document
9
Explicit Jacobi elliptic exact solutions for nonlinear partial fractional differential equations
... where a, b are arbitrary constants. When α, β → , this system has been investigated by Benjamin et al. [] for the first time, as an alternative model to the KdV equation for long waves and it plays an important role in ... See full document
14
Classifying Exact Traveling Wave Solutions to the Coupled Higgs Equation
... the exact traveling wave solutions of the nonlinear differential Equations, such as the inverse scattering method [1], Jacobi elliptic function expansion method [2], homogeneous ... See full document
6
Application of Hyperbola Function Method to the Family of Third Order Korteweg de Vries Equations
... traveling wave solutions for the nonlinear family of third order Korteweg-de ...obtaining exact solutions for the nonlinear family of third ...other nonlinear ... See full document
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Soliton solution for nonlinear partial differential equations by the (G'/G )-expansion method and its applications
... general exact solutions for four different types of nonlinear partial differential equations such as the modified regularized long wave equation, the improved Korteweg de ... See full document
13
Traveling Wave Solutions of Nonlinear Klein-Gordon Equation by Extended (G/G')-expansion Method
... search exact travelling wave solutions for the non-linear Klien-Gordon ...plentiful exact solutions. The solutions are in the form of trigonometric and ...solving ... See full document
7
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 ...solitary wave solutions for two systems of ... See full document
5
EXACT TRAVELLING WAVE SOLUTIONS FOR MANAKOV SYSTEM BY USING FIRST INTEGRAL METHOD
... to a first order integrable ordinary differential equation. An exact solution to equation (1) is then obtained by solving this equation. For convenience, first let us recall the division theorem for two ... See full document
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Study of Nonlinear Evolution Equations to Construct Traveling Wave Solutions via the New Approach of the Generalized (G'/G) Expansion Method
... the travelling wave solutions for nonlinear partial differential equations plays an important role in the study of nonlinear physical ...phenomena. Nonlinear ... See full document
11
New Solitary Wave Solutions for Some Non-linear Partial Differential Equations
... periodic wave solutions with the use of the Tanh and Sech ...the complex structure of the nonlinear partial differential equations ...formal solutions of NPDEs is ... See full document
11
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- ...traveling wave solutions to some ...traveling wave transformation and integrate ... See full document
5
Exact solutions of two nonlinear partial differential equations by using the first integral method
... If we can find the integrals of () under the same conditions, the qualitative theory of differ- ential equations [] tells us that the general solutions of () can be obtained directly. But in general, it ... See full document
9
Exact solutions and transformation properties of nonlinear partial differential equations from general relativity
... -iiiABSTRACT Various families of exact solutions to the Einstein and Einstein-Maxwell field equations of General Relativity are treated for situations of sufficient symmetry that only tw[r] ... See full document
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New Exact Travelling Differential Equations by Using Tanh Method
... of differential equations ...the differential does not get exact ...interested differential equations by studying the existence of the solution or through its properties and ... See full document
5
New explicit and Soliton Wave Solutions of Some Nonlinear Partial Differential Equations with Infinite Series Method
... the solutions are developed as series in real exponential functions which physically corresponds to mixing of elementary solutions of the linear part due to ...for nonlinear partial ... See full document
6
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method
... the exact so- lutions of nonlinear partial time-space differential equations of fractional ...tional complex transformation has been implemented to convert nonlinear ... See full document
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