Symbolic computation on a (2+1)-dimensional generalized nonlinear evolution system in fluid dynamics, plasma physics, nonlinear optics and quantum mechanics
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Publication:6554396
DOI10.1007/S12346-024-01045-5zbMATH Open1548.35117MaRDI QIDQ6554396
Publication date: 12 June 2024
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
symbolic computationnonlinear opticsquantum mechanicsplasma physicsfluid dynamicssimilarity reductionbilinear auto-Bäcklund transformation(2+1)-dimensional generalized nonlinear evolution system
Symbolic computation and algebraic computation (68W30) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial value problems for nonlinear higher-order PDEs (35G25)
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Related Items (5)
Bilinear-form and similarity-reduction visit to a variable-coefficient generalized dispersive water-wave system concerning Acta Mech. 233, 2527 and 233, 2415 ⋮ For the shallow water waves: bilinear-form and similarity-reduction studies on a Boussinesq-Burgers system ⋮ Breathers and interaction phenomena on the non-constant backgrounds for a (3+1)-dimensional generalized shallow water wave equation with variable coefficients ⋮ In a river or an ocean: similarity-reduction work on a \((3+1)\)-dimensional extended shallow water wave equation ⋮ Conservation laws for a perturbed resonant nonlinear Schrödinger equation in quantum fluid dynamics and quantum optics
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