Exact analytical solution of a novel modified nonlinear Schrödinger equation: Solitary quantum waves on a lattice

DOI10.1111/SAPM.12355zbMath1466.81013arXiv2004.06512OpenAlexW3016717373MaRDI QIDQ4995588

Jingxi Luo

Publication date: 25 June 2021

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

Full work available at URL: https://arxiv.org/abs/2004.06512

zbMATH Keywords

exact solutionsolitonscondensed mattermodified nonlinear Schrödinger equationexciton-lattice interaction

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Exactly and quasi-solvable systems arising in quantum theory (81U15) Traveling wave solutions (35C07) Soliton solutions (35C08) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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