Abundant solitons solutions for several forms of the fifth-order KdV equation by using the tanh method
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Publication:861107
DOI10.1016/j.amc.2006.02.047zbMath1107.65092OpenAlexW2080513292MaRDI QIDQ861107
Publication date: 9 January 2007
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.02.047
solitonsKaup-Kupershmidt equationSawada-Kotera equationtanh methodIto equationfifth-order nonlinear Korteweg-de Vries (KdV) equation
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
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Cites Work
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- Symbolic methods to construct exact solutions of nonlinear partial differential equations
- Symbolic computations of conserved densities for systems of nonlinear evolution equations
- Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
- New compactons, solitons and periodic solutions for nonlinear variants of the KdV and the KP equations
- A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions
- The tanh method for traveling wave solutions of nonlinear equations
- Variants of the two-dimensional Boussinesq equation with compactons, solitons, and periodic solutions
- Nonlinear variants of the improved Boussinesq equation with compact and noncompact struc\-tures
- The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants
- Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs
- A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
- An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
- Solitary wave solutions of nonlinear wave equations
- On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψxxx + 6Qψx + 6Rψ = λψ
- The tanh method: II. Perturbation technique for conservative systems
- The tanh method: I. Exact solutions of nonlinear evolution and wave equations
- Special types of the nonlinear dispersive Zakharov–Kuznetsov equation with compactons, solitons, and periodic solutions
- Integrals of nonlinear equations of evolution and solitary waves
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