Some exact solutions of \(ABC\) and Martínez Alonso-Shabat equations

DOI10.7546/jgsp-66-2023-47-58zbMath1527.14078OpenAlexW4384570499MaRDI QIDQ6174562

Łukasz T. Stȩpień

Publication date: 17 August 2023

Published in: Journal of Geometry and Symmetry in Physics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/journal-of-geometry-and-symmetry-in-physics/volume-66/issue-none/Some-Exact-Solutions-of-ABC-and-Martinez-Alonso-Shabat-Equations/10.7546/jgsp-66-2023-47-58.full

zbMATH Keywords

integrable systemsnonlinear partial differential equationsexact solutionsfunctionally invariant solutionsMartínez Alonso-Shabat equationVeronese webABC equation

Mathematics Subject Classification ID

Relationships between algebraic curves and integrable systems (14H70) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

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• The four-dimensional Martínez Alonso-Shabat equation: reductions and nonlocal symmetries
• On soliton interactions for the hierarchy of a generalised Heisenberg ferromagnetic model on \(SU (3)/ S (U (1) \times U (2))\) symmetric space
• Lie symmetry reductions and group invariant solutions of \((2+1)\)-dimensional modified Veronese web equation
• Dispersionless integrable systems in 3D and Einstein-Weyl geometry
• Hydrodynamic reductions and solutions of a universal hierarchy
• Infinitely many commuting nonlocal symmetries for modified Martínez Alonso-Shabat equation
• Einstein–Weyl geometry, dispersionless Hirota equation and Veronese webs
• SECOND-ORDER QUASILINEAR PDEs AND CONFORMAL STRUCTURES IN PROJECTIVE SPACE
• Solution of the dispersionless Hirota equations

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