Open AccessEVOLUTION OF MODULATIONAL INSTABILITY IN TRAVELLING WAVE SOLUTION OF NON-LINEAR PARTIAL DIFFERENTIAL EQUATION
Author(s) -
Ram Dayal Pankaj,
Arun Kumar,
Chandrawati Sindhi
Publication year - 2020
Publication title -
international journal of engineering technologies and management research
Language(s) - English
Resource type - Journals
ISSN - 2454-1907
DOI - 10.29121/ijetmr.v5.i1.2018.42
Subject(s) - elliptic function , first order partial differential equation , modulational instability , partial differential equation , jacobian matrix and determinant , mathematical analysis , mathematics , traveling wave , nonlinear system , partial derivative , method of characteristics , instability , physics , mechanics , quantum mechanics
The Ritz variational method has been applied to the nonlinear partial differential equation to construct a model for travelling wave solution. The spatially periodic trial function was chosen in the form of combination of Jacobian Elliptic functions, with the dependence of its parameters