LIE SYMMETRY ANALYSIS AND INVARIANT SOLUTIONS OF THE GENERALIZED FIFTH-ORDER KDV EQUATION WITH VARIABLE COEFFICIENTS

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Lie Symmetry Analysis and Explicit Solutions of the Time Fractional Fifth-Order KdV Equation

In this paper, using the Lie group analysis method, we study the invariance properties of the time fractional fifth-order KdV equation. A systematic research to derive Lie point symmetries to time fractional fifth-order KdV equation is performed. In the sense of point symmetry, all of the vector fields and the symmetry reductions of the fractional fifth-order KdV equation are obtained. At last,...

متن کامل

New explicit solutions of the fifth-order KdV equation with variable coefficients

By means of the modified CK’s direct method, we give out the relationship between variable coefficients of the fifth-order KdV equation and the corresponding constant coefficient ones. At the same time, we have studied the generalized fifth-order KdV equation with constants coefficients using the Lie symmetry group methods. By applying the nonclassical symmetry method we found that the analyzed...

متن کامل

Lie symmetry analysis for Kawahara-KdV equations

We introduce a new solution for Kawahara-KdV equations. The Lie group analysis is used to carry out the integration of this equations. The similarity reductions and exact solutions are obtained based on the optimal system method.

متن کامل

-Expansion Method For Generalized Fifth Order KdV Equation with Time-Dependent Coefficients

In this work, the generalized ( G′ G ) -expansion method is presented to seek some new exact solutions for generalized fifth order KdV equation with time-dependent coefficients. As a result, more explicit traveling wave solutions involving arbitrary parameters are found out, which are expressed in terms of hyperbolic functions, the trigonometric functions and rational functions. When the parame...

متن کامل

Lie Symmetry Analysis and Exact Solutions of General Time Fractional Fifth-order Korteweg-de Vries Equation

In this paper, using the Lie group analysis method, we study the invariance properties of the general time fractional fifth-order Korteweg-de Vries (KdV) equation. A systematic research to derive Lie point symmetries of the equation is performed. In the sense of point symmetry, all of the geometric vector fields and the symmetry reductions of the equation are obtained, the exact power series so...

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

ژورنال

عنوان ژورنال: Journal of applied mathematics & informatics

سال: 2013

ISSN: 1598-5857

DOI: 10.14317/jami.2013.229