Solitary Wave Solutions for a K(m,n,p,q+r) Equation with Generalized Evolution

نویسندگان

  • Houria Triki
  • Abdul-Majid Wazwaz
چکیده

Studying solitons and compactons is of important significance in nonlinear physics. In this work we study an extension of the K(n,n) equation and the resulting compactons that appear in the super deformed nuclei, the fission of liquid drops and the inertial fusion. The generalized equation, with the generalized evolution term, nonlinear convection terms, the fifth-order nonlinear dispersion and the higher-order nonlinear dispersion corrections will be examined. The sine-cosine ansatz is used to carry out the analysis for this equation and to study the structures of the obtained solutions. A variety of solutions of different structures that contain periodic solutions, solitons solutions, compactons solutions and solitary pattern solutions is obtained.

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

New study to construct new solitary wave solutions for generalized sinh- Gordon equation

In this work, we successfully construct the new exact traveling wave solutions of the generalized Sinh–Gordon equation by new application of the homogeneous balance method. The idea introduced in this paper can be applied to other nonlinear evolution equations.

متن کامل

The modified simplest equation method and its application

In this paper, the modified simplest equation method is successfully implemented to find travelling wave solutions of the generalized forms $B(n,1)$ and $B(-n,1)$ of Burgers equation. This method is direct, effective and easy to calculate, and it is a powerful mathematical tool for obtaining exact travelling wave solutions of the generalized forms $B(n,1)$ and $B(-n,1)$ of Burgers equation and ...

متن کامل

Solitary Waves and Bifurcation Analysis of the K(m, N) Equation with Generalized Evolution Term

The bifurcation analysis of the K (m, n) equation, which serves as a generalized model for the Korteweg-de Vries equation describing the dynamics of shallow water waves on ocean beaches and lake shores, is carried out in this paper. The phase portraits are given and solitary wave solutions are obtained. Singular periodic wave solutions are also given in this work.

متن کامل

Exact Solutions for a Generalized KdV Equation with Time-Dependent Coefficients and K(m,n) Equation

In this paper, a generalized KdV equation with time-dependent coefficients will be studied. The K(m,n) equation with generalized evolution will also be examined. The Riccati equation mapping method will be used to obtain some new exact solutions for both equations. These solutions include solitary wave solutions and periodic wave solutions. The results presented in this paper improve the previo...

متن کامل

Soliton Solution of the K(m, N, P, Q+r) Equation with Generalized Evolution

The ) , , , ( r q p n m K + equation with generalized evolution is investigated by using the sech ansatz. A set of entirely soliton solutions is established. The study reveals the power of this scheme in handling conserved quantities of this equation.

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 2011