Exact Solutions of Newell-Whitehead-Segel Equations Using Symmetry Transformations

نویسندگان

چکیده

In this article, Lie and discrete symmetry transformation groups of linear nonlinear Newell-Whitehead-Segel (NWS) equations are obtained. By using these groups, several group invariant solutions considered NWS have been constructed. Furthermore, some more generated by group. Graphical representations obtained also presented.

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

The Newell-whitehead-segel Equation for Traveling Waves

An equation to describe nearly 1D traveling-waves patterns is put forward in the form of a dispersive generalization of the Newell-Whitehead-Segel equation. Transverse stability of plane waves is shown to be drastically altered by the dispersion. A necessary transverse Benjamin-Feir stability condition is obtained. If it is met, a quarter of the plane-wave existence band is unstable, while thre...

متن کامل

Systematic derivation of a rotationally covariant extension of the two-dimensional Newell-Whitehead-Segel equation.

An extension of the Newell-Whitehead-Segel amplitude equation covariant under abritrary rotations is derived systematically by the renormalization group method. Typeset using REVTEX 1 The present day theory of pattern formation to a large degree rests on the derivation and exploitation of amplitude equations. In particular, for the formation of 2-dimensional patterns by spontaneous symmetry bre...

متن کامل

Dynamics of an Interface Connecting a Stripe Pattern and a Uniform State: amended Newell-Whitehead-Segel equation

The dynamics of an interface connecting a stationary stripe pattern with a homogeneous state is studied. The conventional approach which describes this interface, Newell–Whitehead–Segel amplitude equation, does not account for the rich dynamics exhibited by these interfaces. By amending this amplitude equation with a nonresonate term, we can describe this interface and its dynamics in a unified...

متن کامل

A Comparison Between Fourier Transform Adomian Decomposition Method and Homotopy Perturbation ethod for Linear and Non-Linear Newell-Whitehead-Segel Equations

In this paper, a comparison among the hybrid of Fourier Transform and AdomianDecomposition Method (FTADM) and Homotopy Perturbation Method (HPM) is investigated.The linear and non-linear Newell-Whitehead-Segel (NWS) equations are solved and the results arecompared with the exact solution. The comparison reveals that for the same number of componentsof recursive sequences, the error of FTADM is ...

متن کامل

Exact Solutions of Compressible Flow Equations with Spherical Symmetry

In this paper, we construct spherically symmetric solutions of the equations of compressible flow, which are important in the theory of explosion waves in air, water, and other media. Following McVittie [1], we write a general solution form, in terms of velocity potential, as a product of a function of time and a function of a similarity variable. First, we find solutions to the equations of mo...

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 function spaces

سال: 2021

ISSN: ['2314-8896', '2314-8888']

DOI: https://doi.org/10.1155/2021/6658081