Solitons of shallow-water models from energy-dependent spectral problems
classification
🧮 math-ph
math.MP
keywords
energy-dependentproblemsspectralsystemconstructconstructioncurrentequation
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The current work investigates the soliton solutions of the Kaup-Boussinesq equation using the Inverse Scattering Transform method. We outline the construction of the Riemann-Hilbert problem for a pair energy-dependent spectral problems for the system, which we then use to construct the solution of this hydrodynamic system.
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