Solving the initial value problem for the 3-wave interaction equations in multidimensions
type: Item
instance of: scholarly article
title: Solving the initial value problem for the 3-wave interaction equations in multidimensions
zbMATH Open document ID: 1466.37052
author: M. C. van der Weele
author: A. S. Fokas
published in: Computational Methods and Function Theory
publication date: 2021-05-03T00:00:00Z
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 7342662
zbMATH Keywords: 3-wave interaction equations
zbMATH Keywords: complexification
MaRDI profile type: Publication
full work available at URL: s40315-020-00357-2
OpenAlex ID: W3143947741
cites work: Method for Solving the Korteweg-deVries Equation
cites work: Integrals of nonlinear equations of evolution and solitary waves
cites work: Lax pairs: a novel type of separability
cites work: Q5621188
cites work: On three-dimensional packets of surface waves
cites work: The inverse scattering transform for the time-dependent Schrödinger equation and Kadomtsev-Petviashvili equation
cites work: Construction of higher-dimensional nonlinear integrable systems and of their solutions
cites work: Q3335287
cites work: On the Inverse Scattering of the Time-Dependent Schrödinger Equation and the Associated Kadomtsev-Petviashvili (I) Equation
cites work: On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
cites work: Q3931796
cites work: Q3310297
cites work: Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation
cites work: A Multidimensional Inverse-Scattering Method
cites work: Multidimensional nonlinear evolution equations and inverse scattering
cites work: An inverse problem for multidimensional first-order systems
cites work: Inverse Problems in Multidimensions
cites work: Integrable Nonlinear Evolution Partial Differential Equations in 4 + 2 and<mml:math xmlns:mml="http://www.w3.org/1998/Math/
cites work: Nonlinear Fourier transforms, integrability and nonlocality in multidimensions
cites work: Q3517522
cites work: The Propagation of Nonlinear Wave Envelopes
cites work: Q3925229
cites work: Q4420610
cites work: The D-bar method, inversion of certain integrals and integrability in 4 + 2 and 3 + 1 dimensions
cites work: Complexification and integrability in multidimensions
cites work: Integrability of linear and nonlinear evolution equations and the associated nonlinear Fourier transforms
cites work: Davey-Stewartson type equations in 4+2 and 3+1 possessing soliton solutions
cites work: Q5748613
DOI: 10.1007/S40315-020-00357-2
description: scientific article; zbMATH DE number 7342662