A direct method to find solutions of some type of coupled Korteweg-de Vries equations using hyperelliptic functions of genus two

DOI10.1016/j.physleta.2007.10.047zbMath1220.35147OpenAlexW1980369246MaRDI QIDQ637135

Tommaso Brugarino, Michele Sciacca

Publication date: 2 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.10.047

zbMATH Keywords

exact solutionsnonlinear equationshyperelliptic functions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Numerical approximation and evaluation of special functions (33F05)

Related Items

Trigonometric and hyperbolic type solutions to a generalized Drinfel'd-Sokolov equation ⋮ Traveling wave solutions \((u,\nu)\) to a generalized Drinfel'd-Sokolov system which satisfy \(u=a_1\nu^m+a_0\) ⋮ Thermal solitons along wires with flux-limited lateral exchange ⋮ Hyperelliptic functions solutions of some nonlinear partial differential equations using the direct method ⋮ Analytical solutions to a generalized Drinfel'd-Sokolov equation related to DSSH and KdV6

Cites Work

• Unnamed Item
• The exact solutions to the complex KdV equation
• Lie algebras and equations of Korteweg-de Vries type
• Complex version KdV equation and the periods solution
• Reduction of Abelian functions and algebraically integrable systems. II
• Integrable KdV systems: Recursion operators of degree four
• Weak and Strong Interactions between Internal Solitary Waves
• Theta functions and non-linear equations
• Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method
• Strong Interactions between Solitary Waves Belonging to Different Wave Modes

This page was built for publication: A direct method to find solutions of some type of coupled Korteweg-de Vries equations using hyperelliptic functions of genus two