A quantum mechanics analogy for the nonlinear Schrödinger equation in the finite line

DOI10.1016/0898-1221(94)00122-7zbMath0804.65121arXiv1301.3944OpenAlexW3104869779MaRDI QIDQ1334695

Francisco R. Villatoro, Juan I. Ramos

Publication date: 25 September 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.3944

zbMATH Keywords

nonlinear Schrödinger equationNewton-Raphson methodNeumann boundary conditionssolitonRobin boundary conditionsCrank-Nicolson methodforcesquantum momentum

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Applications to the sciences (65Z05)

Related Items (1)

Conservation laws of femtosecond pulse propagation described by generalized nonlinear Schrödinger equation with cubic nonlinearity

Cites Work

• Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation
• The forced nonlinear Schrödinger equation
• An initial-boundary value problem for the nonlinear Schrödinger equation
• Initial boundary value problem for the nonlinear Schrodinger equation
• The inverse scattering transform: Semi-infinite interval
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