Approximate analytical solutions of generalized Zakharov-Kuznetsov and generalized modified Zakharov-Kuznetsov equations
DOI10.1007/s40819-021-01034-1zbMath1485.35121OpenAlexW3182804407MaRDI QIDQ2114952
Santanu Raut, Prasanta Chatterjee, Rishi Raj Kairi, Subrata Shyam Roy
Publication date: 15 March 2022
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-021-01034-1
dampingwave featuresexternal periodic forcingdirect assumption techniquegeneralized modified Zakharov-Kuznetsov (GMZK) equationgeneralized Zakharov-Kuznetsov (GZK) equation
KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for nonlinear higher-order PDEs (35G25)
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Cites Work
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- The sine-cosine method for obtaining solutions with compact and noncompact structures
- The extended tanh method for the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms
- A generalized F-expansion method to find abundant families of Jacobi elliptic function solutions of the \((2+1)\)-dimensional Nizhnik-Novikov-Veselov equation
- Jacobian elliptic function method for nonlinear differential-difference equations
- Exp-function method for nonlinear wave equations
- 1-soliton solution of the generalized KdV equation with generalized evolution
- Solitary wave solution of the Zakharov-Kuznetsov equation in plasmas with power law nonlinearity
- On the convergence of He's variational iteration method
- Scattering of regularized-long-wave solitary waves
- Solitary waves of the equal width wave equation
- The boundary forced MKdV equation
- A sine-cosine method for handling nonlinear wave equations
- Exact solutions with solitons and periodic structures for the Zakharov-Kuznetsov (ZK) equation and its modified form
- The decomposition method applied to solve high-order linear Volterra-Fredholm integro-differential equations
- Homotopy perturbation method for bifurcation of nonlinear problems
- Solitons and other solutions to (n+1)-dimensional modified Zakharov-Kuznetsov equation by exp-function method
- Investigation of the logarithmic-KdV equation involving Mittag-Leffler type kernel with Atangana-Baleanu derivative
- Transmission dynamics of varicella zoster virus modeled by classical and novel fractional operators using real statistical data
- Propagation of ion-acoustic solitary waves for damped forced Zakharov Kuznetsov equation in a relativistic rotating magnetized electron-positron-ion plasma
- Efficiency of the new fractional derivative with nonsingular Mittag-Leffler kernel to some nonlinear partial differential equations
- Dynamic behaviors and soliton solutions of the modified Zakharov-Kuznetsov equation in the electrical transmission line
- Further improved F-expansion method and new exact solutions of Konopelchenko--Dubrovsky equation
- The \(\tan h\) method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations
- The extended Jacobi elliptic function method to solve a generalized Hirota-Satsuma coupled KdV equations
- Construction of exact solitary solutions for Boussinesq-like \(B(m,n)\) equations with fully nonlinear dispersion by the decomposition method
- Mathematics of dispersive water waves
- The tanh method for generalized forms of nonlinear heat conduction and Burgers-Fisher equations
- Solitary waves of the regularised long-wave equation
- Extended tanh-function method and its applications to nonlinear equations
- The new extended rational SGEEM for construction of optical solitons to the \((2+1)\)-dimensional Kundu-Mukherjee-Naskar model
- Finding Eigenvalue Problems for Solving Nonlinear Evolution Equations
- ANALYTICAL TREATMENT OF SOME PARTIAL DIFFERENTIAL EQUATIONS ARISING IN MATHEMATICAL PHYSICS BY USING THEExp-FUNCTION METHOD
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Schrödinger spectral problems with energy–dependent potentials as sources of nonlinear Hamiltonian evolution equations
- Approximate equations for long water waves
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Optical solitons and modulation instability analysis of the (1 + 1)-dimensional coupled nonlinear Schrödinger equation
- Modulation instability analysis, optical and other solutions to the modified nonlinear Schrödinger equation
- New lump, lump-kink, breather waves and other interaction solutions to the (3+1)-dimensional soliton equation
- Exact envelope-soliton solutions of a nonlinear wave equation
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