English

On standing waves of 1D nonlinear Schr\"odinger equation with triple power nonlinearity

Analysis of PDEs 2025-08-28 v2

Abstract

For the one dimensional nonlinear Schr\"odinger equation with triple power nonlinearity and general exponents, we study analytically and numerically the existence and stability of standing waves. Special attention is paid to the curves of non-existence and curves of stability change on the parameter planes.

Keywords

Cite

@article{arxiv.2312.03693,
  title  = {On standing waves of 1D nonlinear Schr\"odinger equation with triple power nonlinearity},
  author = {Theo Morrison and Tai-Peng Tsai},
  journal= {arXiv preprint arXiv:2312.03693},
  year   = {2025}
}

Comments

to appear in Studies in Applied Mathematics