Reduction restrictions of Darboux and Laplace transformations for the Goursat equation
From MaRDI portal
Publication:4830728
DOI10.1063/1.1427761zbMath1059.35002OpenAlexW2046771177MaRDI QIDQ4830728
No author found.
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1427761
Transform methods (e.g., integral transforms) applied to PDEs (35A22) Soliton equations (35Q51) Surfaces in Euclidean and related spaces (53A05) Implicit function theorems, Jacobians, transformations with several variables (26B10)
Related Items (4)
Interaction of vortical and acoustic waves: from general equations to integrable cases ⋮ Higher dimensional Darboux transformations ⋮ New non-traveling wave solutions for the \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation ⋮ On de Rham-Hodge-Skrypnik theory of Delsarte transmutation operators in multidimension and its applications
Cites Work
- The reduction problem and the inverse scattering method
- Some generalizations of the two-dimensional Toda chain and sinh-Gordon equations
- On the localized solutions of the Davey-Stewartson-I equations
- An analogue of the Moutard transformation for the Goursat equation \(\vartheta_{xy}=2\sqrt{\lambda(x,y)\vartheta_x\vartheta_y}\)
- A \(\mathbf Z^2\times\mathbf R^3\) Toda system
- On the Darboux integrable hyperbolic equations
- Darboux transforms for Davey-Stewartson equations and solitons in multidimensions
- Laplace transformations of hydrodynamic-type systems in Riemann invariants: Periodic sequences
- Induced Surfaces and Their Integrable Dynamics
This page was built for publication: Reduction restrictions of Darboux and Laplace transformations for the Goursat equation
