کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1862791 | 1037612 | 2006 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Envelope compact and solitary pattern structures for the GNLS(m,n,p,q) equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this Letter, to further understand the role of nonlinear dispersion in the generalized nonlinear Schrödinger equation, we introduce and study the generalized nonlinear Schrödinger equation with nonlinear dispersion (called GNLS(m,n,p,q) equation): iut+a(u|u|nâ1)xx+bu|u|mâ1+ic(u|u|pâ1)xxx+id(u|u|qâ1)x=0. Some new envelope compacton solutions and solitary pattern solutions of GNLS(m,n,p,q) equation are obtained via the gauge transformation and some direct ansatze. In particular, it is shown that GNLS(m,n,p,q) equation with linear dispersion gives rise to envelope compactons and solitary patterns, which implies that nonlinear dispersion is not necessary condition for GNLS(m,n,p,q) equation to admit envelope compactons and solitary patterns. Moreover, some unusually local conservation laws are presented for GNLS+(n,n,n,n) equation and GNLSâ(n,n,n,n) equation, respectively.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 357, Issue 3, 11 September 2006, Pages 196-203
Journal: Physics Letters A - Volume 357, Issue 3, 11 September 2006, Pages 196-203
نویسندگان
Zhenya Yan,