非线性Goss-Pitaevskii方程的行波解的存在性
Existence of Traveling Waves Solutions for the Nonlinear Goss-Pitaevskii Equations
DOI: 10.12677/orf.2024.143313, PDF,   
作者: 杨滨宾：上海理工大学理学院，上海
关键词: 行波解；非局部GP方程；非线性；Traveling Waves Solutions； Nonlocal GP Equation； Nonlinear
摘要: 本文主要讨论一个非线性Gross-Pitaevskii方程在一维情形下的行波解，我们建立了与最小化问题相关的欧拉–拉格朗日方程，从而证明行波解的存在性，更准确地说，建立了由动量参数化的解族的存在性。
Abstract: This article mainly discusses the traveling wave solution of a nonlinear Gross-Pitaevskii equation in one-dimensional case. We establish the Euler-Lagrange equation related to the minimization problem, which is crucial for proving the existence of traveling wave solutions. More precisely, the existence of a family of solutions parameterized by momentum is established.
文章引用：杨滨宾. 非线性Goss-Pitaevskii方程的行波解的存在性[J]. 运筹与模糊学, 2024, 14(3): 775-780. https://doi.org/10.12677/orf.2024.143313

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