کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9877707 1534094 2005 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bifurcations of travelling wave solutions in the discrete NLS equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Bifurcations of travelling wave solutions in the discrete NLS equations
چکیده انگلیسی
We show that there exists a continuous two-parameter family of single-humped travelling wave solutions in the third-order derivative NLS equation, when it is derived from the integrable Ablowitz-Ladik lattice. On the contrary, there are no single-humped solutions in the third-order derivative NLS equation, when it is derived from the cubic NLS equation with on-site interactions. Nevertheless, we show that there exists an infinite discrete set of one-parameter families of double-humped travelling wave solutions in the latter case. Our results are valid in the neighborhood of the zero-dispersion point on the two-parameter plane of travelling wave solutions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 202, Issues 1–2, 1 March 2005, Pages 16-36
نویسندگان
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