Modified method of simplest equation and its applications to the Bogoyavlenskii equation (Q521534)

scientific article; zbMATH DE number 6704055

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English	Modified method of simplest equation and its applications to the Bogoyavlenskii equation	scientific article; zbMATH DE number 6704055

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instance of

scholarly article

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title

Modified method of simplest equation and its applications to the Bogoyavlenskii equation (English)

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publication date

11 April 2017

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zbMATH Keywords

special Riccati equation

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exact solution

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full work available at URL

https://doi.org/10.1016/j.camwa.2016.08.002

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cites work

A transformed rational function method and exact solutions to the \(3+1\) dimensional Jimbo-Miwa equation

0 references

Rational solutions to an extended Kadomtsev-Petviashvili-like equation with symbolic computation

0 references

1-soliton solution of the generalized Zakharov-Kuznetsov equation with nonlinear dispersion and time-dependent coefficients

0 references

Solitary waves with the Madelung fluid description: a generalized derivative nonlinear Schrödinger equation

0 references

1-soliton solution of the generalized Zakharov equation in plasmas by He's variational principle

0 references

Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation

0 references

An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system

0 references

A note on rational solutions to a Hirota-Satsuma-like equation

0 references

Soliton excitations and shape-changing collisions in alpha helical proteins with interspine coupling at higher order

0 references

Cnoidal and snoidal wave solutions to coupled nonlinear wave equations by the extended Jacobi's elliptic function method

0 references

A Jacobi-Gauss-Lobatto collocation method for solving generalized Fitzhugh-Nagumo equation with time-dependent coefficients

0 references

A numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equations

0 references

A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations

0 references

Linear superposition principle of hyperbolic and trigonometric function solutions to generalized bilinear equations

0 references

Linear superposition principle applying to Hirota bilinear equations

0 references

Application of the method of simplest equation for obtaining exact traveling-wave solutions for the extended Korteweg-de Vries equation and generalized Camassa-Holm equation

0 references

Constructing nonlinear discrete integrable Hamiltonian couplings

0 references

Exact multi-wave solutions for the KdV equation

0 references

Solitary wave solutions for nonlinear partial differential equations that contain monomials of odd and even grades with respect to participating derivatives

0 references

Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions

0 references

A second Wronskian formulation of the Boussinesq equation

0 references

Exact rational solutions to a Boussinesq-like equation in (\(1 + 1\))-dimensions

0 references

Rational solutions of the Toda lattice equation in Casoratian form

0 references

Lump solutions to the Kadomtsev-Petviashvili equation

0 references

Lump solutions to dimensionally reduced \(p\)-gKP and \(p\)-gBKP equations

0 references

Comment on the \(3+1\) dimensional Kadomtsev-Petviashvili equations

0 references

Integrable properties of the general coupled nonlinear Schrödinger equations

0 references

Integrability and bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects

0 references

Integrability and equivalence relationships of six integrable coupled Korteweg-de Vries equations

0 references

Exp-function method for Riccati equation and new exact solutions with two arbitrary functions of \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equations

0 references

A bilinear Bäcklund transformation of a \((3+1)\)-dimensional generalized KP equation

0 references

Bilinear equations and resonant solutions characterized by Bell polynomials

0 references

Trilinear equations, Bell polynomials, and resonant solutions

0 references

Nonautonomous motion study on accelerated and decelerated solitons for the variable-coefficient Lenells-Fokas model

0 references

Complexiton solutions to the Korteweg-de Vries equation

0 references

Wronskians, generalized Wronskians and solutions to the Korteweg-de Vries equation

0 references

Soliton behavior for a generalized mixed nonlinear Schrödinger model with <i>N</i>-fold Darboux transformation

0 references

A note on the homogeneous balance method

0 references

Exact solutions for a compound KdV-Burgers equation

0 references

Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics

0 references

Solitary wave solutions of nonlinear wave equations

0 references

Periodic wave solutions to a coupled KdV equations with variable coefficients

0 references

AUTO-BÄCKLUND TRANSFORMATION AND NEW EXACT SOLUTIONS OF THE (2 + 1)-DIMENSIONAL NIZHNIK–NOVIKOV–VESELOV EQUATION

0 references

The extended \(F\)-expansion method and its application for a class of nonlinear evolution equations

0 references

Q3063382

0 references

Q4390165

0 references

Link between solitary waves and projective Riccati equations

0 references

Bäcklund transformation and multi-soliton solutions for the (3+1)-dimensional BKP equation with Bell polynomials and symbolic computation

0 references

Integrability and exact solutions of a two-component Korteweg-de Vries system

0 references

Exploratory approach to explicit solution of nonlinear evolution equations

0 references

New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations

0 references

The extended tanh method for abundant solitary wave solutions of nonlinear wave equations

0 references

Exact traveling wave solutions and bifurcations of the dual Ito equation

0 references

Soliton-type and other travelling wave solutions for an improved class of nonlinear sixth-order Boussinesq equations

0 references

Kink-like wave and compacton-like wave solutions for generalized KdV equation

0 references

Exact and numerical solutions of coupled short pulse equation with time-dependent coefficients

0 references

One method for finding exact solutions of nonlinear differential equations

0 references

Modified method of simplest equation for obtaining exact analytical solutions of nonlinear partial differential equations: further development of the methodology with applications

0 references

Explicit exact solutions of some nonlinear evolution equations with their geometric interpretations

0 references

Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations

0 references

Modified Kudryashov method for finding exact solitary wave solutions of higher-order nonlinear equations

0 references

Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation

0 references

Direct search for exact solutions to the nonlinear Schrödinger equation

0 references

Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm

0 references

Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamics

0 references

Auxiliary equation method and new solutions of Klein-Gordon equations

0 references

Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity

0 references

Modified method of simplest equation and its application to nonlinear PDEs

0 references

Breaking solitons in 2+1-dimensional integrable equations

0 references

Multicomponent equations associated to non-isospectral scattering problems

0 references

A Generalization of the Sine-Gordon Equation to 2 + 1 Dimensions

0 references

Symbolic Computation and <i>q</i> -Deformed Function Solutions of (2+1)-Dimensional Breaking Soliton Equation

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Exact solutions of the Bogoyavlenskii equation using the multiple \((\frac{G'}{G})\)-expansion method

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published in

Computers & Mathematics with Applications

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Identifiers

zbMATH Open document ID

1362.35074

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Mathematics Subject Classification ID

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10.1016/J.CAMWA.2016.08.002

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Sitelinks

Mathematics(1 entry)

mardi Publication:521534