کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1868106 1038399 2006 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Cusp and loop soliton solutions of short-wave models for the Camassa–Holm and Degasperis–Procesi equations
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Cusp and loop soliton solutions of short-wave models for the Camassa–Holm and Degasperis–Procesi equations
چکیده انگلیسی

A simple method is developed for constructing the solutions of the short-wave model equations associated with the Camassa–Holm (CH) and Degasperis–Procesi (DP) shallow-water wave equations. Taking an appropriate scaling limit of the N-soliton solution of the CH equation, we obtain the N-cusp soliton solution for the CH short-wave model. The similar procedure also leads to the N-loop soliton solution for the DP short-wave model. We describe the property of the solutions. In particular, we derive the large-time asymptotics of the solutions as well as the formulas for the phase shift.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 359, Issue 5, 4 December 2006, Pages 451–457
نویسندگان
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