A direct and inverse problem for wave crests modelled by interactions of two solitons
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Publication:1577700
DOI10.1016/S0167-2789(00)00037-3zbMath0961.35133OpenAlexW2027396313MaRDI QIDQ1577700
Pearu Peterson, Embrecht W. C. Van Groesen
Publication date: 20 March 2001
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-2789(00)00037-3
Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items (6)
Weakly two-dimensional interaction of solitons in shallow water ⋮ Emergence of Solitonic Structures in Hierarchical Korteweg–de Vries Systems ⋮ Interaction of Kadomtsev-Petviashvili solitons with unequal amplitudes ⋮ Reconstruction of multi-soliton interactions using crest data for \((2+1)\)-dimensional KdV type equations ⋮ Extreme elevations and slopes of interacting solitons in shallow water ⋮ Sensitivity of the inverse wave crest problem
Cites Work
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- On the dynamics of soliton interactions for the Korteweg-de Vries equation
- Sensitivity of the inverse wave crest problem
- The Korteweg-de Vries Two-Soliton Solution as Interacting Two Single Solitons
- A search for integrable bilinear equations: The Painlevé approach
- On the Structure During Interaction of the Two-Soliton Solution of the Korteweg–de Vries Equation
- An Analytical Model of Periodic Waves in Shallow Water
- On the Interaction of Nearly Equal Solitons in the KdV Equation
- Korteweg‐devries equation and generalizations. VI. methods for exact solution
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