A study for obtaining more solitary pattern solutions of fifth-order KdV-like equations
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Publication:4831433
DOI10.1080/00207160410001661285zbMath1061.35112OpenAlexW2119779303MaRDI QIDQ4831433
Publication date: 29 December 2004
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160410001661285
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solutions to PDEs in closed form (35C05)
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Cites Work
- Modified nonlinearly dispersive \(mK(m,n,k)\) equations: I. New compacton solutions and solitary pattern solutions
- New families of solitons with compact support for Boussinesq-like \(B(m,n)\) equations with fully nonlinear dispersion.
- Two new applications of the homogeneous balance method
- Traveling wave solutions for nonlinear equations using symbolic computation
- General compactons solutions for the focusing branch of the nonlinear dispersive \(K(n,n)\) equations in higher-dimensional spaces
- On solitons, compactons, and Lagrange maps.
- Travelling solitary wave solutions to a compound KdV-Burgers equation.
- On nonanalytic solitary waves formed by a nonlinear dispersion.
- ON THE GENERALIZED TANH METHOD FOR THE (2+1)-DIMENSIONAL BREAKING SOLITON EQUATION
- Travelling wave solutions to the two-dimensional KdV-Burgers equation
- Compactons: Solitons with finite wavelength
- Solitary wave solutions of nonlinear evolution and wave equations using a direct method and MACSYMA
- Double periodic solutions with Jacobi elliptic functions for two generalized Hirota-Satsuma coupled KdV systems
