The dispersionless Veselov-Novikov equation: symmetries, exact solutions, and conservation laws

DOI10.1007/s13324-021-00563-8zbMath1472.35020OpenAlexW3175396305MaRDI QIDQ1981639

Jen-Hsu Chang, Oleg I. Morozov

Publication date: 6 September 2021

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

Full work available at URL: https://doi.org/10.1007/s13324-021-00563-8

zbMATH Keywords

invariant solutionshigh frequency electromagnetic waves in nonlinear media

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Applications of Lie groups to the sciences; explicit representations (22E70) Nonlinear higher-order PDEs (35G20) Modular Lie (super)algebras (17B50) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (1)

Point- and contact-symmetry pseudogroups of dispersionless Nizhnik equation

Uses Software

• Jets

Cites Work

• Jets
• On first integrals of geodesic flows on a two-torus
• Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations
• Geometry of jet spaces and integrable systems
• Nonclassical symmetry reductions of nonlinear partial differential equations
• The symbolic computation of integrability structures for partial differential equations
• On the Lambert \(w\) function
• The construction of special solutions to partial differential equations
• Nonlinear Dynamics on the Plane and Integrable Hierarchies of Infinitesimal Deformations
• Integrable Equations in Nonlinear Geometrical Optics
• Algebraic Approaches to Partial Differential Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The dispersionless Veselov-Novikov equation: symmetries, exact solutions, and conservation laws