Exact Solutions of Coupled Sine-Gordon Equations Using the Simplest Equation Method

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

Exact solutions to the sine-Gordon equation

A systematic method is presented to provide various equivalent solution formulas for exact solutions to the sine-Gordon equation. Such solutions are analytic in the spatial variable x and the temporal variable t, and they are exponentially asymptotic to integer multiples of 2π as x → ±∞. The solution formulas are expressed explicitly in terms of a real triplet of constant matrices. The method p...

متن کامل

Exact Solutions for the Coupled Sine-Gordon Equations by a New Hyperbolic Auxiliary Function Method

We have presented a new hyperbolic auxiliary function method for obtaining traveling wave solutions of nonlinear partial differential equations. Applying this, exact traveling wave solutions for the coupled Sine-Gordon equations are constructed.

متن کامل

New exact solutions of the double sine-Gordon equation using symbolic computations

The double sine-Gordon equation is studied. Some complex hyperbolic functions are proposed to derive travelling wave solutions. Based on the symbolic computation program MAPLE, many new exact solutions are obtained. 2006 Elsevier Inc. All rights reserved.

متن کامل

Abundant Interaction Solutions of Sine-Gordon Equation

With the help of computer symbolic computation software e.g., Maple , abundant interaction solutions of sine-Gordon equation are obtained by means of a constructed Wronskian form expansion method. The method is based upon the forms and structures of Wronskian solutions of sine-Gordon equation, and the functions used in the Wronskian determinants do not satisfy linear partial differential equati...

متن کامل

Generalized solution of Sine-Gordon equation

In this paper, we are interested to study the Sine-Gordon equation in generalized functions theory introduced by Colombeau, in the first we give result of existence and uniqueness of generalized solution with initial data are distributions (elements of the Colombeau algebra). Then we study the association concept with the classical solution.

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

سال: 2014

ISSN: 1110-757X,1687-0042

DOI: 10.1155/2014/534346