Numerical simulation of solitons and dromions in the Davey-Stewartson system

DOI10.1016/0378-4754(94)00032-8zbMath0812.65119OpenAlexW1982634737MaRDI QIDQ1344316

J. A. C. Weideman, P. W. White

Publication date: 14 May 1995

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(94)00032-8

zbMATH Keywords

numerical testsnonlinear Schrödinger equationsplit-step Fourier methodDavey-Stewartson systemelliptic-hyperbolichyperbolic- ellipticrational solitons dromions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Applications to the sciences (65Z05)

Related Items

Numerical simulation of solitons and dromions in the Davey-Stewartson system ⋮ Low-regularity integrator for the Davey-Stewartson system: elliptic-elliptic case ⋮ Numerical study of the Davey-Stewartson system ⋮ Numerical study of Davey–Stewartson I systems ⋮ Low-regularity integrator for the Davey-Stewartson II system ⋮ Numerical simulation of blow-up solutions for the generalized Davey–Stewartson system ⋮ Dromions of flexural-gravity waves ⋮ High precision numerical approach for Davey–Stewartson II type equations for Schwartz class initial data ⋮ A numerical study of the long-wave short-wave resonance for 3D water waves ⋮ Localised coherent solutions of the DSI and DSII equations -- a numerical study ⋮ Spectral Approach to D‐bar Problems

Cites Work

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