Explicit quasi-periodic solutions of the Vakhnenko equation
From MaRDI portal
Publication:5171376
DOI10.1063/1.4878493zbMath1304.35045OpenAlexW2050882058MaRDI QIDQ5171376
Yunyun Zhai, Xiangguo Geng, Guo-Liang He
Publication date: 26 July 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4878493
Almost and pseudo-almost periodic solutions to PDEs (35B15) Nonlinear higher-order PDEs (35G20) Theta functions and abelian varieties (14K25) Initial value problems for nonlinear higher-order PDEs (35G25)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quasi-periodic solutions of the Kaup-Kupershmidt hierarchy
- Multiple-mode wave solutions in Vakhnenko equation
- Quasi-periodic solutions of mixed AKNS equations
- On soliton structure of isospectral Vakhnenko equation: WKI-eigenvalue problem
- Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions
- Determinant formulae in abelian functions for a general trigonal curve of degree five
- On the Riemann theta function of a trigonal curve and solutions of the Boussinesq and KP equations
- Periodic problems for the Korteweg-de Vries equation in the class of finite band potentials
- Algebro-geometric solutions of the Camassa-Holm hierarchy
- Theta constants associated with the cyclic triple coverings of the complex projective line branching at six points
- The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method.
- Theta functions on Riemann surfaces
- Quasi-periodic solutions to the two-component nonlinear Klein-Gordon equation
- The singular solutions of a nonlinear evolution equation taking continuous part of the spectral data into account in inverse scattering method
- Matrix finite-zone operators
- Finite-gap potentials with trigonal curves
- Special singularity function for continuous part of the spectral data in the associated eigenvalue problem for nonlinear equations
- A finite genus solution of the Hirota equation via integrable symplectic maps
- Theta functions and non-linear equations
- Abelian functions associated with a cyclic tetragonal curve of genus six
- The Periodic Cubic Schrõdinger Equation
- Solitons in a nonlinear model medium
- Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
- Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach
- Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies
- The two loop soliton solution of the Vakhnenko equation
- A New Approach to the Boussinesq Hierarchy
- Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
- ALGEBRO-GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY
- High-frequency soliton-like waves in a relaxing medium
- Prolongation algebras and Hamiltonian operators for peakon equations
- Algebro-geometric solution of the 2+1 dimensional Burgers equation with a discrete variable
- Periodic and almost-periodic potentials in inverse problems
- Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation
- Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
- Uniformization of Jacobi varieties of trigonal curves and nonlinear differential equations
