کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
758259 896417 2013 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Different kinds of exact solutions with two-loop character of the two-component short pulse equations of the first kind
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Different kinds of exact solutions with two-loop character of the two-component short pulse equations of the first kind
چکیده انگلیسی

In this paper, by using the integral bifurcation method and the Sakovich’s transformations, we study the two-component short pulse equations of the first kind, different kinds of exact traveling wave solutions with two-loop character, such as two-loop soliton solutions, periodic loop-compacton wave solutions and different kinds of periodic two-loop wave solutions are obtained. Further, we discuss their dynamical behaviors of these exact traveling wave solutions and show their profiles of time evolution by illustrations. This is first time in our research area that we obtain two-soliton solutions of nonlinear partial differential equations under no help of Hirota’s method, inverse scattering method, Darboux transformation and Bächlund transformation.


► 2-component short pulse equations (SPEs) are studied by Sakovich’s transformation.
► 2-loop soliton solution is obtained under no help of Hirota’s method and Darboux transformation.
► 2-loop soliton solution of 2-SPEs is first obtained by using the integral bifurcation method.
► Periodic loop-compacton solutions and 2-loop wave solutions of 2-component SPEs are obtained.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 18, Issue 10, October 2013, Pages 2667–2678
نویسندگان
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