کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5011603 1462597 2017 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence and stability of dispersive solutions to the Kadomtsev-Petviashvili equation in the presence of dispersion effect
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Existence and stability of dispersive solutions to the Kadomtsev-Petviashvili equation in the presence of dispersion effect
چکیده انگلیسی
The paper deals with Kadomtsev-Petviashvili (KP) equation in presence of a small dispersion effect. The nature of solutions are examined under the dispersion effect by using Lyapunov function and dynamical system theory. We prove that when dispersion is added to the KP equation, in certain regions, yet there exist bounded traveling wave solutions in the form of solitary waves, periodic and elliptic functions. The general solution of the equation with or without the dispersion effect are obtained in terms of Weirstrass ℘ functions and Jacobi elliptic functions. New form of kink-type solutions are established by exploring a new technique based on factorization method, use of functional transformation and the Abel's first order nonlinear equation. Furthermore, the stability analysis of the dispersive solutions are examined which shows that the traveling wave velocity is a bifurcation parameter which governs between different classes of waves. We use the phase plane analysis and show that at a critical velocity, the solution has a transcritical bifurcation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 48, July 2017, Pages 326-339
نویسندگان
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