Families of particular solutions to multidimensional partial differential equations

DOI10.1063/1.1398337zbMath1063.35058OpenAlexW2090110848MaRDI QIDQ2774741

A. I. Zenchuk

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1398337

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Nonlinear higher-order PDEs (35G20)

Related Items (1)

Soliton with non-constant velocity

Cites Work

• 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
• Generalization of the inverse scattering problem method
• On the dressing method in multidimension
• Multidimensional hierarchies of (1+1)-dimensional integrable partial differential equations. Nonsymmetric ∂̄-dressing
• The non-local delta problem and (2+1)-dimensional soliton equations
• Wave solutions of a (2+1)-dimensional generalization of the nonlinear Schr dinger equation
• Multicomponent equations associated to non-isospectral scattering problems

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