Nonlinear Evolution Equations (NLEEs)
Bilinear approach to soliton and periodic wave solutions of two nonlinear evolution equations of Mathematical Physics
... for nonlinear evolution equations (NLEEs) is a key topic in the study of nonlinear phenomena ...a nonlinear evo- lution ...of nonlinear evolu- tion equations, including ...
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Traveling Wave Solutions of Nonlinear Evolution Equations Via the New Generalized (G′/G) Expansion Method
... In this study, we considered the Benjamin-Ono equation. We apply the new approach of generalized ( G ′ / G ) -expansion method for the exact solution of this equation and constructed some new solutions which are not ...
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On a direct construction of inverse scattering problems for integrable nonlinear evolution equations in the two spatial dimension
... integrable nonlinear evolution equations has been an interesting subject, see [5, 9, 14] for example, since the discovery of the soliton solutions for the Korteweg-de Vries equation [1, 2, 6, 7, 10, ...
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Nonlinear Evolution Equations and Its Application to a Tumour Invasion Model
... consider nonlinear evolution equations with logistic term satisfying initial Neu- mann-boundary condition and show global existence in time of solutions to the problem in arbitrary space dimension by ...
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Solving Nonlinear Evolution Equations by (G'/G)-Expansion Method
... [12] M. Wang, X. Li and J. Zhang, The (G′/G)−expansion method and traveling wave solutions of nonlinear evolution equations in mathematical physics, Phy. Lett. A, 372, 417-423, 2008. [13] A. Yildirim ...
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Approach in theory of nonlinear evolution equations : the Vakhnenko-Parkes equation
... A variety of methods for examining the properties and solutions of nonlinear evolution equations are explored by using the Vakhnenko equation (VE) as an example. The VE, which arises in modelling the ...
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Controllability for nonlinear evolution equations with monotone operators
... S: Nonlinear Mappings of Monotone ...G: Nonlinear Evolution Equations and ...T: Nonlinear evolution equations in Banach ...H: Equations of ...
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Nonlinear Evolution Equations for Second-order Spectral Problem
... Abstract—Soliton equations are infinite-dimensional integrable systems described by nonlinear evolution ...soliton equations, long wave equation takes on profound significance of theory and ...
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Asymptotic behavior of solutions to a class of fourth order nonlinear evolution equations with dispersive and dissipative terms
... We study the long time asymptotic behavior of solutions to a class of fourth-order nonlinear evolution equations with dispersive and dissipative terms. By using the integral estimation method ...
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Identification problems for systems of nonlinear evolution equations and functional equations
... of nonlinear evolution equations are the mathematical models that are used to describe many complex phenomena arising in science and ...of nonlinear evolution ...other evolution ...
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Anti periodic solutions for nonlinear evolution equations
... The study of anti-periodic solutions for nonlinear evolution equations was initiated by Okochi []. Since then, many authors have been devoted to investigation of the existence of anti-periodic ...
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Numerical study of nonlinear evolution equations, using compact differencing
... e nonlinear system s which concern us is trid i agonal or block tridiagonal, direct m ethods, such as T h o m as’ algorithm for tridiagonal system s or LU decom position for block tridiagonal system s, are ...
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Infinite sets of polynomial conserved densities for nonlinear evolution equations
... The infinite sets of polynomial conserved densities which have been found for the Korteweg-de Vries equation, the modified Korteweg-de Vries equation, the Sine-Gordon equation, and the c[r] ...
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Dark soliton and periodic wave solutions of nonlinear evolution equations
... . We substitute (.) or (.) into the reduced equation obtained above in (.), balance the terms of the cosine functions when (.) is used, or balance the terms of the sine func- tions when (.) is used, and solve ...
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Searching for traveling wave solutions of nonlinear evolution equations in mathematical physics
... sub-equation method, more new exact traveling wave solutions including triangular solutions, hyperbolic function solutions, Jacobi and Weierstrass elliptic function solutions have been obtained by taking full advantage ...
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An estimate on the thickness of boundary layer for nonlinear evolution equations with damping and diffusion
... Navier-Stokes equations; see for instance [, –] and the references ...parabolic equations with small viscosity are applied as perturbations; see for instance [–] and the references ...
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Exact solutions of (3 +1)-dimensional nonlinear evolution equations
... of nonlinear equations has been very active for the past few ...of nonlinear equations that appear in various areas of physical and mathematical ...of nonlinear equations, for ...
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An Innovative Solutions for the Generalized FitzHugh Nagumo Equation by Using the Generalized (G'/G) Expansion Method
... by nonlinear evolution equations ...by nonlinear evolution equa- tions, exact solutions for the nonlinear evolution equa- tions have to be ...
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The application of dressing method on nonlinear evolution equations
... A typically bell-shaped, plane wave pulse which translates in one direction without changing its shape is called as solitary wave. In another words, a solitary wave is a single isolated symmetrical hump travelling wave ...
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Nonlinear evolution equations and applications in optimal control theory
... University of Warwick institutional repository: http://go.warwick.ac.uk/wrap A Thesis Submitted for the Degree of PhD at the University of Warwick http://go.warwick.ac.uk/wrap/72032.. Th[r] ...
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