کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8204320 1530539 2017 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic expansions and solitons of the Camassa-Holm - nonlinear Schrödinger equation
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Asymptotic expansions and solitons of the Camassa-Holm - nonlinear Schrödinger equation
چکیده انگلیسی
We study a deformation of the defocusing nonlinear Schrödinger (NLS) equation, the defocusing Camassa-Holm NLS, hereafter referred to as CH-NLS equation. We use asymptotic multiscale expansion methods to reduce this model to a Boussinesq-like equation, which is then subsequently approximated by two Korteweg-de Vries (KdV) equations for left- and right-traveling waves. We use the soliton solution of the KdV equation to construct approximate solutions of the CH-NLS system. It is shown that these solutions may have the form of either dark or antidark solitons, namely dips or humps on top of a stable continuous-wave background. We also use numerical simulations to investigate the validity of the asymptotic solutions, study their evolution, and their head-on collisions. It is shown that small-amplitude dark and antidark solitons undergo quasi-elastic collisions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 381, Issue 48, 28 December 2017, Pages 3965-3971
نویسندگان
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