Time-dependent Duhamel renormalization method with multiple conservation and dissipation laws
DOI10.1088/1361-6544/ac4815zbMath1490.37098arXiv2201.00002OpenAlexW4210890689MaRDI QIDQ5028396
Aseel Farhat, Sathyanarayanan Chandramouli, Ziad H. Musslimani
Publication date: 9 February 2022
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.00002
nonlinear wavesinitial boundary value problemspartial differential equationssoliton equationsDuhamel's principlerenormalization methodHamiltonian and dissipative systems
Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Simulation of dynamical systems (37M05) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Uses Software
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