Prolongation structures and a generalized inverse scattering problem

DOI10.1063/1.522808zbMath0347.76011OpenAlexW1967855281MaRDI QIDQ4117488

Hedley C. Morris

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1063/1.522808

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Applications of Lie groups to the sciences; explicit representations (22E70) Exterior differential systems (Cartan theory) (58A15) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (9)

Algebraic aspects of nonlinear differential equations ⋮ Prolongation structures of nonlinear evolution equations. II ⋮ The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative ⋮ Prolongation structure for Langmuir solitons ⋮ The Bäcklund problem for the equation ∂2z/∂x1∂x2= f (z) ⋮ Algorithmic method for deriving Lax pairs from the invariant Painlevé analysis of nonlinear partial differential equations ⋮ Bäcklund transformation of partial differential equations from the Painlevé–Gambier classification. I. Kaup–Kupershmidt equation ⋮ Prolongation structures and \(N\)-soliton solutions for a new nonlinear Schrödinger-type equation via Riemann-Hilbert approach ⋮ Factorization of operators.II

Cites Work

• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• Prolongation structures of nonlinear evolution equations
• Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices

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