Numerical solution to coupled nonlinear Schrödinger equations on unbounded domains

Shenggao Zhou and Xiaoliang Cheng

Mathematics and Computers in Simulation (MATCOM), 2010, vol. 80, issue 12, 2362-2373

Abstract: The numerical simulation of coupled nonlinear Schrödinger equations on unbounded domains is considered in this paper. By using the operator splitting technique, the original problem is decomposed into linear and nonlinear subproblems in a small time step. The linear subproblem turns out to be two decoupled linear Schrödinger equations on unbounded domains, where artificial boundaries are introduced to truncate the unbounded physical domains into finite ones. Local absorbing boundary conditions are imposed on the artificial boundaries. On the other hand, the coupled nonlinear subproblem is an ODE system, which can be solved exactly. To demonstrate the effectiveness of our method, some comparisons in terms of accuracy and computational cost are made between the PML approach and our method in numerical examples.

Keywords: Coupled nonlinear Schrödinger equations; Operator splitting method; Absorbing boundary condition; Unbounded domain; Soliton (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2010:i:12:p:2362-2373

DOI: 10.1016/j.matcom.2010.05.019

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