Equations with soliton solutions
Multiple soliton solutions for the variant Boussinesq equations
... Boussinesq equations; multiple soliton solutions; multiple singular soliton solutions 1 Introduction Many phenomena in physics, biology, chemistry, mechanics, ...wave equations. ...
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Soliton Solutions of the Kaup-Kupershmidt and Sawada-Kotera Equations
... seek soliton solutions of two-component generalizations of the Kaup- Kupershmidt and Sawada-Kotera equations, for this purpose I will apply the extended tanh ...wave solutions of coupled ...
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Pulse Soliton Solutions of the Modified KdV and Born Infeld Equations
... all solutions of shape Sech n - of the modified KdV and Born-Infeld ...the soliton solutions when n is positive and the non soliton solutions when n is ...Equation; Soliton ...
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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 ...the equations and obtain topological soliton solutions The ...
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Exact Topological Soliton Solutions to the Strongly Perturbed Family of Sine Gordon Type Equations
... topological soliton solu- tions to sine-Gordon type ...sine-cosine-Gordon equations are investigated along with dispersive and highly dispersive ...these solutions are found, strong perturba- tions ...
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Exact soliton solutions of the generalized combined and the generalized double combined sinh-cosh-Gordon equations
... exact soliton solutions of the generalized combined and the generalized double combined sinh-cosh-Gordon equations [22], by using the extended tanh ...exact soliton solutions of the ...
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Multiple soliton solutions and a generalized double Wronskian determinant to the \((2+1)\) dimensional nonlinear Schrödinger equations
... 18. Ohta, Y, Yang, JK: Dynamics of rogue waves in the Davey-Stewartson II equation. J. Phys. A, Math. Theor. 46, 105202 (2013) 19. Hirota, R: The Direct Method in Soliton Theory. Cambridge University Press, ...
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Dynamics of bright and dark multi soliton solutions for two higher order Toda lattice equations for nonlinear waves
... multi-soliton solutions of two higher-order Toda lattice ...such soliton solutions are shown ...multi-soliton solutions for Toda lattice equation via numerical simulations, and ...
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Nonlinear Schrödingers equations with cubic nonlinearity: M-derivative soliton solutions by $\exp(-\Phi(\xi))$-Expansion method
... wave solutions of fractional models which yields to frac- tional differential ...optical soliton with fractional time evolution, become very important due to its application in secure communi- cation system ...
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SEARCHING SOLITON SOLUTIONS TO THE BURGER-HUXLEY AND THE KLEIN GORDON EQUATIONS
... ABSTRACT In this article, we execute an extension of the ( ' G G ) method viz. the ( ' G G ,1 G ) method to construct exact traveling wave solutions to nonlinear evolution equations. We attain kink, ...
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Bright and Singular Soliton Solutions of Tzitzéica Type Equations Appear in Nonlinear Optics
... nonlinear equations into nonlinear ordinary differential equa- ...wave solutions, in terms of bright, singular soliton and trigonometric functions, for the Tzitz´ eica- Dodd–Bullough–Mikhailov (TDBM) ...
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Algebro-Geometric Solutions to a New Hierarchy of Soliton Equations
... explicit solutions for various soliton equations has been very important in modern mathematics with ramifications to several areas of mathe- matics, physics and other ...explicit solutions of ...
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Dark soliton and periodic wave solutions of nonlinear evolution equations
... periodic solutions are derived. The physical parameters in the soliton solutions of the ansatz method, amplitude, inverse width and velocity, are obtained as functions of the dependent model ...
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A Variety of Explicit Exact and Soliton Type Solutions of Conformable Fractional Equal-Width Equations
... Equal-Width equations; Conformable derivative; Hy- perbolic function approach; Exact soliton ...differential equations were represented as fractional differential ...differential equations are ...
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Bilinear approach to soliton and periodic wave solutions of two nonlinear evolution equations of Mathematical Physics
... N-soliton solutions of nonlinear evolution equation are derived by the perturbation technique, and the periodic wave solutions for potential Kadomtsev–Petviashvili equation and (3 + 1)-dimensional ...
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Two-soliton solutions of the Kadomtsevpetviashvili equation
... Keywords: Soliton, Hirota Bilinear method, Korteweg-de Vries and Kadomtsev-Petviashvili equations ...penyelesaian soliton oleh persamaan Kadomtsev-Petviashvili akan dibincangkan dalam kertas ...dua ...
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New explicit and Soliton Wave Solutions of Some Nonlinear Partial Differential Equations with Infinite Series Method
... differential equations have been converted into an ...for equations with similar linear part, the researchers have earned the exact soliton solutions of the selected ...exact solutions ...
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Linear integral equations, infinite matrices, and soliton hierarchies
... AND SOLITON HIERARCHIES WEI FU AND FRANK W NIJHOFF ...integral equations and their representations in terms of infinite matrices, which give rise to all (2+1)- and (1+1)-dimensional soliton ...
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Soliton Solutions of the Complex Ginzburg-Landau Equation
... waves equations depending only on the function ξ, and these equations can be exactly ...these equations in ξ is shown to lead to a general soliton solution of the ...
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Multiple soliton solutions for a quasilinear Schrodinger equation
... 7. J. P. Garc´ıa Azorero, I. Peral Alonso and J. J. Manfredi, Sobolev versus H¨older local minimizers and global multiplicity for some quasilinear elliptic equations, Commun. Contemp. Math., 2 (2000), 385- 404. 8. ...
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