The three-wave resonant interaction equations: Spectral and numerical methods

DOI10.1007/S11005-010-0430-4zbMath1276.74024OpenAlexW2012154083MaRDI QIDQ539060

Stefan Wabnitz, Matteo Conforti, Sara Lombardo, Fabio Baronio, Antonio Degasperis

Publication date: 27 May 2011

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-010-0430-4

zbMATH Keywords

spectral theorynumerical computationthree-wave resonant interaction

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (12)

A Riemann-Hilbert approach in the form of a block matrix for the coupled matrix integrable system ⋮ Novel soliton solutions for the fractional three-wave resonant interaction equations ⋮ EXACT SOLITON SOLUTIONS FOR CONFORMABLE FRACTIONAL SIX WAVE INTERACTION EQUATIONS BY THE ANSATZ METHOD ⋮ The 3-wave resonant interaction model: spectra and instabilities of plane waves ⋮ Nonlinear evolution equations of co-propagating waves over finite depth fluid ⋮ The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures ⋮ General rogue wave solutions of the coupled Fokas–Lenells equations and non-recursive Darboux transformation ⋮ Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours ⋮ The three-wave resonant interaction equations: Spectral and numerical methods ⋮ Semiclassical soliton ensembles for the three-wave resonant interaction equations ⋮ Darboux transformation and novel solutions for the long wave-short wave model ⋮ Integrability of nonlinear wave equations and solvability of their initial value problem

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