Exact Traveling Wave Solution of Degasperis-Procesi Equation

نویسنده

  • Liqin Yu
چکیده

In this paper, exact traveling wave solution of Degasperis–Procesi equation can be investigated via the first-integral method. By using the first-integral method which is based on the ring theory of commutative algebra, We construct exact traveling wave solution for Degasperis–Procesi equation , and the obtained solution agrees well with the previously known result.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Soliton, kink and antikink solutions of a 2-component of the Degasperis-Procesi equation

In this paper, we employ the bifurcation theory of planar dynamical systems to investigate the traveling wave solutions of a 2-component of the Degasperis-Procesi equation. The expressions for smooth soliton, kink and antikink solutions are obtained.

متن کامل

Solitons, Peakons, and Periodic Cuspons of a Generalized Degasperis-Procesi Equation

In this paper, we employ the bifurcation theory of planar dynamical systems to investigate the exact travelling wave solutions of a generalized Degasperis-Procesi equation ut−uxxt+4uux+γ(u−uxx)x = 3uxuxx+uuxxx. The implicit expression of smooth soliton solutions is given. The explicit expressions of peaked soliton solutions and periodic cuspon solutions are also obtained. Further, we show the r...

متن کامل

On the Uniqueness of Discontinuous Solutions to the Degasperis-procesi Equation

We prove uniqueness within a class of discontinuous solutions to the nonlinear and third order dispersive Degasperis-Procesi equation ∂tu− ∂ txxu + 4u∂xu = 3∂xu∂ xxu + u∂ xxxu. In a recent paper [3], we proved for this equation the existence and uniqueness of L1∩BV weak solutions satisfying an infinite family of Kružkov-type entropy inequalities. The purpose of this paper is to replace the Kruž...

متن کامل

Dynamical Behaviors and New Exact Bounded Travelling Wave Solutions for the Modified Degasperis-Procesi Equation

In this paper, we consider the modified Degasperis-Procesi equation ut − uxxt + 4uux = 3uxuxx + uuxxx by the theory of planar dynamical systems and qualitative theory of polynomial differential system. For three special cases, dynamical behaviors are investigated based on an independent variable transformation, and some new exact peakon, solitary wave, periodic wave and periodic cusp wave solut...

متن کامل

Bounded travelling wave solutions for a modified form of generalized Degasperis-Procesi equation

In this paper, a modified form of generalized Degasperis–Procesi equation is studied by using the bifurcation theory and by the method of phase portraits analysis. Some bounded travelling waves (loop solitons, peakons, solitary waves and periodic waves) are found. Under different parameter conditions, exact parametric representations of the above travelling waves in explicit form and in implici...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2012