Multidimensional linearizable system of \(n\)-wave-type equations

DOI10.1134/S0040577917010032zbMath1383.35059arXiv1610.08211MaRDI QIDQ682338

A. I. Zenchuk

Publication date: 14 February 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.08211

zbMATH Keywords

dressing methodinverse scattering transform method\(n\)-wave equationlinearizable equation

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Traveling wave solutions (35C07) Boundary value problems for systems of nonlinear higher-order PDEs (35G60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The inverse scattering solution for the full three dimensional three-wave resonant interaction
• Construction of higher-dimensional nonlinear integrable systems and of their solutions
• Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• On integration of a multidimensional version of n-wave type equation
• On the relationship between nonlinear equations integrable by the method of characteristics and equations associated with commuting vector fields
• A unified dressing method forC- andS-integrable hierarchies; the particular example of a (3 + 1)-dimensionaln-wave equation
• A Method for Solvithe Separable Initial-Value Problem of the Full Three-Dimensional Three-Wave Interaction
• C-integrable nonlinear partial differentiation equations. I
• C-integrable nonlinear PDEs. II
• Method for Solving the Korteweg-deVries Equation

This page was built for publication: Multidimensional linearizable system of \(n\)-wave-type equations