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travelling wave solutions

Exact travelling wave solutions for some complex nonlinear partial
 differential equations

Exact travelling wave solutions for some complex nonlinear partial differential equations

... - expansion method for constructing exact travelling wave solutions of nonlinear par- tial differential equations. The proposed algorithm has been successfully tested on two two selected equations, ...

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Classification of Bounded Travelling Wave Solutions of the General Burgers-Boussinesq Equation

Classification of Bounded Travelling Wave Solutions of the General Burgers-Boussinesq Equation

... bounded travelling wave solutions of the system ...solitary wave solution, periodic travelling wave solution and kink (anti kink) wave solution of equation ...

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EXISTENCE AND NONEXISTENCE OF BIFURCATION OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION

EXISTENCE AND NONEXISTENCE OF BIFURCATION OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION

... periodic travelling wave solutions of nonlinear dispersive long wave equation by using Lyapunov- Schmidt ...regular solutions for the reduced equation corresponding to the main ...

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LYAPUNOV-SCHMIDT REDUCTION IN THE STUDY OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION

LYAPUNOV-SCHMIDT REDUCTION IN THE STUDY OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION

... periodic travelling wave solutions of nonlinear dispersive long wave equation by using Lyapunov-Schmidt ...regular solutions for the reduced equation corresponding to the main problem, ...

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Travelling Wave Solutions of Coupled Burger’s Equations of Time-Space Fractional Order by Novel (Gʹ/G)-Expansion Method

Travelling Wave Solutions of Coupled Burger’s Equations of Time-Space Fractional Order by Novel (Gʹ/G)-Expansion Method

... By using every one of these sets into (5) and (6), then consolidating with the solution 𝐺(𝛿) of Novel (Gʹ/G)-expansion method, we get travelling wave solutions to Burger’s equations. Now we take Set ...

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Bifurcations of Travelling Wave Solutions for the B(m,n) Equation

Bifurcations of Travelling Wave Solutions for the B(m,n) Equation

... litary wave solutions will be ...the travelling wave solutions of ...all travelling wave solutions in the parameter space of this ...

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On the Instability of a Class of Periodic Travelling Wave Solutions of the Modified Boussinesq Equation

On the Instability of a Class of Periodic Travelling Wave Solutions of the Modified Boussinesq Equation

... periodic travelling wave solutions of the modified Boussinesq ...Periodic travelling wave solutions with a fixed fundamental period L will be constructed by using Jacobi’s ...

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On travelling wave solutions of the diffusive Leslie–Gowermodel

On travelling wave solutions of the diffusive Leslie–Gowermodel

... studying travelling wave solutions within a homogeneous diffusive LG ...sider travelling waves solution when investigating reaction-diffusion ...a travelling wavefront solution, and ...

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Travelling wave solutions of a Reaction-Diffusion System: Slow Reaction and Slow Diffusion

Travelling wave solutions of a Reaction-Diffusion System: Slow Reaction and Slow Diffusion

... the travelling wave solutions for both 𝒖 and 𝒘 when 𝑫 = ...traveling wave of 𝒘 grows exponentially and there is no effects on ...The travelling wave solutions are also ...

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Some periodic and solitary travelling-wave solutions of the short pulse equation

Some periodic and solitary travelling-wave solutions of the short pulse equation

... other travelling-wave solutions to the ...solitary travelling-wave solutions to the Degasperis–Procesi equation [4], the Camassa–Holm equation [5] and the reduced Ostrovsky ...

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Travelling Wave Solutions for Three Dimensional Incompressible MHD Equations

Travelling Wave Solutions for Three Dimensional Incompressible MHD Equations

... soliton solutions are obtained in three-dimensional Cartesian ...exact solutions of the MHD equations and solved the basic nonlinear equation in terms of Jacobi elliptic ...exact solutions of MHD ...

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EXACT TRAVELLING WAVE SOLUTIONS FOR MANAKOV SYSTEM BY USING FIRST INTEGRAL METHOD

EXACT TRAVELLING WAVE SOLUTIONS FOR MANAKOV SYSTEM BY USING FIRST INTEGRAL METHOD

... exact solutions for nonlinear differential ...exact solutions for them such as tanh-sech method 14, 16 , extended tanh method 1, 7, 18 , the generalized hyperbolic function method 8 , sine-cosine method 17 ...

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A Study on Exact Travelling Wave Solutions of Generalized KdV Equations

A Study on Exact Travelling Wave Solutions of Generalized KdV Equations

... periodic solutions for the equations presented in this paper are ...the wave function u and the coefficient a, positive or negative, leads to the different physical structures of the ...

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Travelling wave solutions to some PDEs of mathematical physics

Travelling wave solutions to some PDEs of mathematical physics

... a(x)y + b(x)y + c(x) = 0 (3.21) allows to compute M as a function of H from the first equation of (3.20). One finds M = H since α is a constant. This method relies upon the extension to Ᏻ for the classical study of ...

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Stabilizing non trivial solutions of the generalized Kuramoto Sivashinsky equation using feedback and optimal control

Stabilizing non trivial solutions of the generalized Kuramoto Sivashinsky equation using feedback and optimal control

... stabilising solutions to the Kuramoto-Sivashinsky equation is studied in this ...including travelling wave solutions, using a finite number of point ...controlling solutions of coupled ...

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Extended Auxiliary Equation Method to the perturbed Gerdjikov-Ivanov Equation

Extended Auxiliary Equation Method to the perturbed Gerdjikov-Ivanov Equation

... exact travelling wave solutions for the non-linear perturbed GIE with the help of new ...valued solutions represent traveling waves in various ...

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Homotopy Perturbation Method for the Generalized Hirota Satsuma Coupled KdV Equation

Homotopy Perturbation Method for the Generalized Hirota Satsuma Coupled KdV Equation

... the Travelling Wave Solutions of Generalized Nonlinear Hi- rota-Satsuma Coupled KdV Equations,” International Journal of Nonlinear, Science, ...

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Application of the Improved Kudryashov Method to Solve the Fractional Nonlinear Partial Differential Equations

Application of the Improved Kudryashov Method to Solve the Fractional Nonlinear Partial Differential Equations

... the solutions of nonlinear fractional partial differential equations with the help of fractional complex ...exact travelling wave solutions of KdV-Burger’s equ- ation have been found in ...

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The stochastic elementary formula method and approximate travelling waves for semi linear reaction diffusion equations

The stochastic elementary formula method and approximate travelling waves for semi linear reaction diffusion equations

... by Huaizhong Zhao In this thesis we consider approximate travelling wave solutions for stochastic and generalised KPP equations and systems by using the stochastic elementary formula met[r] ...

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An Innovative Solutions for the Generalized FitzHugh Nagumo Equation by Using the Generalized  (G'/G) Expansion Method

An Innovative Solutions for the Generalized FitzHugh Nagumo Equation by Using the Generalized (G'/G) Expansion Method

... [25] S. Zhang and T. C. Xia, “Symbolic Computation and New Families of Exact Non-Travelling Wave Solutions of (3 + 1)-Dimensional Kadomstev-Petviashvili Equa- tion,” Applied Mathematics and ...

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