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Exact solutions for a nonlinear model (Q609317)

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scientific article; zbMATH DE number 5821465

Language	Label	Description	Also known as
English	Exact solutions for a nonlinear model	scientific article; zbMATH DE number 5821465

Statements

scholarly article

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Exact solutions for a nonlinear model (English)

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Jairo Ernesto Castillo Hernández

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Alvaro H. Salas

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José Gonzalo Escobar Lugo

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Applied Mathematics and Computation

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publication date

30 November 2010

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zbMATH Keywords

sine-Gordon equation

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Josephson junctions

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perturbed equation

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nonlinear PDE

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traveling wave solution

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soliton solution

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MaRDI profile type

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full work available at URL

https://doi.org/10.1016/j.amc.2009.09.011

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Possible new effects in superconductive tunnelling

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Perturbed soliton-like molecular excitations in a deformed DNA chain

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Perturbed soliton excitations in the DNA double helix

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Perturbation of topological solitons due to sine-Gordon equation and its type

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A variable separated ODE method for solving the triple sine-Gordon and the triple sinh-Gordon equations

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Travelling wave solutions for the MKdV-sine-Gordon and the MKdV-sinh-Gordon equations by using a variable separated ODE method

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The variable separated ODE method for travelling wave solutions for the Boussinesq-double sine-Gordon and the Boussinesq-double sinh-Gordon equations

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Travelling wave solutions for combined and double combined sine-cosine-Gordon equations by the variable separated ODE method

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Exact solutions for the generalized sine-Gordon and the generalized sinh-Gordon equations

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The tanh method and a variable separated ODE method for solving double sine-Gordon equation

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The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations

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Boundedness of voltags and currents in Josephson junctions represented by the perturbed sine-Gordon equation

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The solution of the two-dimensional sine-Gordon equation using the method of lines

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Some solutions for a type of generalized Sawada-Kotera equation

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New periodic and soliton solutions for the generalized BBM and Burgers-BBM equations

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The variational iteration method combined with improved generalized tanh-coth method applied to Sawada-Kotera equation

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Computing exact solutions for some fifth KdV equations with forcing term

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Exact solutions for the general fifth KdV equation by the exp function method

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The Cole-Hopf transformation and improved tanh-coth method applied to new integrable system (KdV6)

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New abundant solutions for the Burgers equation

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The generalized tanh-coth method to special types of the fifth-order KdV equation

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Exact solutions for the general fifth order KdV equation by the extended tanh method

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A practical approach to solve coupled systems of nonlinear partial differential equations

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Special forms of the fifth-order KdV equation with new periodic and soliton solutions

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.AMC.2009.09.011

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Sitelinks

Mathematics(1 entry)

mardi Publication:609317

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