散焦DNLS方程中的异宿驻波--能量最小变分法
Heteroclinic standing waves in defocussing DNLS equations -- Variational approach via energy minimization
摘要：
研究了离散非线性薛定谔方程中的异宿驻波（暗孤子）。我们的主要结果是一个相当初级的存在性证明的波与单调和奇的轮廓，并依赖于最小化一个适当定义的能量泛函。我们还研究了连续极限和驻波的数值近似。
英文摘要：
We study heteroclinic standing waves (dark solitons) in discrete nonlinear Schrödinger equations with defocussing nonlinearity. Our main result is a quite elementary existence proof for waves with monotone and odd profile, and relies on minimizing an appropriately defined energy functional. We also study the continuum limit and the numerical approximation of standing waves.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
