Exact solutions for some nonlinear evolution equations which describe pseudo-spherical surfaces

DOI10.1016/j.cam.2005.10.007zbMath1093.35005OpenAlexW2018632782MaRDI QIDQ818194

D. K. Callebaut, A. H. Khater, S. M. Sayed

Publication date: 24 March 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.10.007

zbMATH Keywords

solitary waveBurgers' equationBäcklund transformationstravelling waveSawada-Kotera equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Applications of PDEs on manifolds (58J90) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Surfaces in Euclidean and related spaces (53A05) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (13)

Exact solutions for some nonlinear evolution equations which describe pseudo-spherical surfaces ⋮ On the well-posedness of the exp-Rabelo equation ⋮ Numerical solutions of some nonlinear evolution equations by Chebyshev spectral collocation methods ⋮ The Bäcklund transformations, exact solutions, and conservation laws for the compound modified Korteweg-de Vries-Sine-Gordon equations which describe pseudospherical surfaces ⋮ A singular limit problem for the Ibragimov-Shabat equation ⋮ A method for constructing traveling wave solutions to nonlinear evolution equations ⋮ A Chebyshev spectral collocation method for solving Burgers'-type equations ⋮ Canonical reduction of self-dual Yang-Mills equations to Fitzhugh-Nagumo equation and exact solutions ⋮ Conservation laws and exact solutions for some nonlinear partial differential equations ⋮ New bilinear Bäcklund transformation with multisoliton solutions for the (2+1)-dimensional Sawada-Kotera model ⋮ Travelling wave solutions for the KdV-Burgers-Kuramoto and nonlinear Schrödinger equations which describe pseudospherical surfaces ⋮ MULTI-SOLITON SOLUTIONS AND THEIR INTERACTIONS FOR THE (2+1)-DIMENSIONAL SAWADA-KOTERA MODEL WITH TRUNCATED PAINLEVÉ EXPANSION, HIROTA BILINEAR METHOD AND SYMBOLIC COMPUTATION ⋮ Bell-polynomial manipulations on the Bäcklund transformations and Lax pairs for some soliton equations with one Tau-function

Uses Software

• ATFM

Cites Work

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