کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1899850 | 1534065 | 2009 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Soliton scattering with amplitude changes of a negative order AKNS equation
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
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چکیده انگلیسی
The paper investigates a nonlinear model which provides soliton scattering with amplitude changes. This is a nonlinear equation in negative order AKNS hierarchy. We derive its NN-soliton solutions through Hirota method. For dynamics, 1-soliton is characterized by an asymmetric shape and time-dependent amplitude. Then by means of asymptotic analysis it is found that two-soliton scattering provides not only phase shifts but also amplitude changes for each soliton, which differs from classical soliton interactions where only phase shifts appear. Appendix A gives a tentative discussion on Lax integrability and formal Hamiltonian structures of the negative order hierarchy, and Appendix B lists reductions of equations and solutions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 238, Issues 23–24, December 2009, Pages 2361–2367
Journal: Physica D: Nonlinear Phenomena - Volume 238, Issues 23–24, December 2009, Pages 2361–2367
نویسندگان
Da-jun Zhang, Jie Ji, Song-lin Zhao,