On some Lagrangian model concerning the solitary waves

DOI10.1016/0034-4877(91)90001-4zbMath0813.58027OpenAlexW2062152374MaRDI QIDQ1186140

Wiesław Z. Królikowski

Publication date: 28 June 1992

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(91)90001-4

zbMATH Keywords

solitonsLax representationFinsler geometryfield theoryKadomtsev- Petviashvili system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Quantum field theory on curved space or space-time backgrounds (81T20) Applications of global analysis to the sciences (58Z05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)

Related Items (2)

Finslerian extension of Lorentz transformations ⋮ Finslerian metric functions over the product \(\mathbb{R}\times M\) and their potential applications

Cites Work

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• Finsler geometry, relativity and gauge theories
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• On Finsler spaces with Kropina metric
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Integrals of nonlinear equations of evolution and solitary waves
• On an Asymmetrical Metric in the Four-Space of General Relativity
• Quantum Theory of Non-Local Fields. Part II. Irreducible Fields and their Interaction

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