The Role of the Korteweg-de Vries Hierarchy in the N-Soliton Dynamics of the Shallow Water Wave Equation

DOI10.1143/JPSJ.66.1277zbMath0946.35080arXivpatt-sol/9509001OpenAlexW2028517285MaRDI QIDQ4491521

Juan C. Montero, M. A. Manna, José Geraldo Pereira, Roberto A. Kraenkel

Publication date: 26 July 2000

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/patt-sol/9509001

zbMATH Keywords

long wavesreductive perturbation methodshallow water wave model

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (5)

Higher Order Terms in Multiscale Expansions: A Linearized KdV Hierarchy ⋮ Validity of the Weakly Nonlinear Solution of the Cauchy Problem for the Boussinesq-Type Equation ⋮ Uniqueness properties of higher order dispersive equations ⋮ The KdV hierarchy and the propagation of solitons on very long distances ⋮ The Bäcklund transformations and abundant explicit exact solutions for the AKNS-SWW equation

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