A note to the integrable discretization of the mKdV and Schrödinger equations

DOI10.1080/00207160.2011.583348zbMath1238.35140OpenAlexW2011228512MaRDI QIDQ2885536

Tengfei Cheng, Yi Zhang, Da-Jun Ding, Xiao-lan Dang

Publication date: 23 May 2012

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2011.583348

zbMATH Keywords

bilinear operatorhyperbolic operatordiscrete NLS equationdiscrete mKdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Cites Work

• Discretization of coupled modified KdV equations
• Rational solutions of the Toda lattice equation in Casoratian form
• Discrete exact solutions of modified Volterra and Volterra lattice equations via the new discrete sine-Gordon expansion algorithm

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