New integrable nonlinear integrodifferential equations and related solvable finite-dimensional dynamical systems
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Publication:3793857
DOI10.1063/1.528134zbMath0648.76006OpenAlexW1979262886MaRDI QIDQ3793857
No author found.
Publication date: 1988
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.528134
Hilbert transformBenjamin-Ono equationnonlocal nonlinearityintegrable nonlinear evolution equationN-soliton solutions
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items (2)
Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ A search for bilinear equations passing Hirota’s three-soliton condition. IV. Complex bilinear equations
Cites Work
- Algebraic Solitary Waves in Stratified Fluids
- N-Soliton Solutions of Model Equations for Shallow Water Waves
- Solitons and rational solutions of nonlinear evolution equations
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Nonlinear evolution equations associated with a Riemann–Hilbert scattering problem
- Kinks of the sine-Hilbert equation and their dynamical motions
- Interaction of the Benjamin-Ono solitons
- The N -soliton solution of the Benjamin-Ono equation
- Direct and inverse scattering problems of the nonlinear intermediate long wave equation
- Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
- Multi-soliton solutions in a finite depth fluid
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- A simple one‐dimensional model for the three‐dimensional vorticity equation
- The Inverse Scattering Transform for the Benjamin‐Ono Equation—A Pivot to Multidimensional Problems
- Internal waves of permanent form in fluids of great depth
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