Showing nlin.PSShow all
3 papers · 1 filter
nlin.PS2023
Domain Walls and Vector Solitons in the Coupled Nonlinear Schrodinger Equation
David D. J. M. Snee, Yi-Ping Ma
We outline a program to classify domain walls (DWs) and vector solitons in the 1D two-component coupled nonlinear Schrodinger (CNLS) equation with general coefficients. The CNLS eq…
nlin.PS2018
Edge Solitons in a Nonlinear Mechanical Topological Insulator
David D. J. M. Snee, Yi-Ping Ma
We report localized and unidirectional nonlinear traveling edge waves discovered theoretically and numerically in a 2D mechanical (phononic) topological insulator. The lattice cons…
nlin.PS2016
A universal asymptotic regime in the hyperbolic nonlinear Schrödinger equation
Mark J. Ablowitz, Yi-Ping Ma, Igor Rumanov
The appearance of a fundamental long-time asymptotic regime in the two space one time dimensional hyperbolic nonlinear Schrödinger (HNLS) equation is discussed. Based on analytical…