Who cares about integrability?
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Publication:1181185
DOI10.1016/0167-2789(91)90244-4zbMath0742.35066OpenAlexW1974501975MaRDI QIDQ1181185
Publication date: 27 June 1992
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(91)90244-4
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton equations (35Q51)
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Cites Work
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- Existence and regularity for solutions of the Korteweg-de Vries equation
- Characterization of Jacobian varieties in terms of soliton equations
- Langmuir wave solitons and spatial collapse in plasma physics
- Scattering theory for the Korteweg-de Vries (KdV) equation and its Hamiltonian interpretation
- Korteweg-de Vries equation: a completely integrable Hamiltonian system
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
- Theta functions and non-linear equations
- Nonlinear Dynamics of Deep-Water Gravity Waves
- An Analytical Model of Periodic Waves in Shallow Water
- Solitary-wave interaction
- The inverse scattering transform: Semi-infinite interval
- The Korteweg-de Vries equation and water waves. Part 2. Comparison with experiments
- A numerical and theoretical study of certain nonlinear wave phenomena
- METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS
- Inverse scattering on the line
- Nonperturbative two-dimensional quantum gravity
- Method for Solving the Korteweg-deVries Equation
