The shallow-water nonlinear Schrödinger equation in Lagrangian coordinates
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Publication:3827664
DOI10.1063/1.857343zbMath0673.76019OpenAlexW2031727210MaRDI QIDQ3827664
G. Boffetta, Alfred R. Osborne
Publication date: 1989
Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.857343
nonlinear Schrödinger equationperiodic boundary conditionsKorteweg-de Vries equationshallow waterLagrangian coordinatesParticle motion
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Navier-Stokes equations (35Q30)
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Cites Work
- On the nonlinear Schrödinger limit of the Korteweg-de Vries equation
- The solitons of Zabusky and Kruskal revisited: perspective in terms of the periodic spectral transform
- Multi-scale expansions in the theory of systems integrable by the inverse scattering transform
- Periodic problems for the Korteweg-de Vries equation in the class of finite band potentials
- Canonically Conjugate Variables for the Korteweg-de Vries Equation and the Toda Lattice with Periodic Boundary Conditions
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- The Korteweg–de Vries equation in Lagrangian coordinates
- On the evolution of packets of long surface waves
- Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
- On three-dimensional packets of surface waves
- Long Non‐Linear Waves in Fluid Flows
