The coupled nonlinear Schrödinger equations describing power and phase for modeling phase-sensitive parametric amplification in silicon waveguides

DOI10.1155/2014/621751zbMath1463.35465OpenAlexW2121573249WikidataQ59053822 ScholiaQ59053822MaRDI QIDQ2336595

Hongjun Liu, Zhaolu Wang, Xuefeng Li

Publication date: 19 November 2019

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/621751

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (1)

Superposed periodic kink and pulse solutions of coupled nonlinear equations

Cites Work

• Optimizing initial chirp for efficient femtosecond wavelength conversion in silicon waveguide by split-step Fourier method
• A precise Runge-Kutta integration and its application for solving nonlinear dynamical systems
• Stability analysis of Runge-Kutta methods for unbounded retarded differential equations with piecewise continuous arguments
• Parallel split-step Fourier methods for nonlinear Schrödinger-type equations
• Higher-order split-step Fourier schemes for the generalized nonlinear Schrödinger equation
• An efficient implicit Runge-Kutta method for second order systems
• Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations

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