%0 Journal Article
%T On Linear Superposition Principle Applying to Hirota Bilinear Equations
%J American Journal of Computational and Applied Mathematics
%@ 2165-8943
%D 2013
%I 
%R 10.5923/j.ajcam.20130301.02
%X The linear superposition principle of exponential travelling waves is analysed for equations of Hirota bilinear type, with an aim to construct a specific subclass of N-soliton solutions formed by linear combination of exponential travelling waves. Applications are made for Sawada-Kotera and a (2+1)-dimensional equations, thereby presenting their N-wave solutions. An opposite question is also put forward and discussed about generating Hirota bilinear equations possesses the indicated N-wave solutions and a few illustrative examples are presented, together with an algorithm using weights.
%K Hirota Bilinear Form
%K Soliton Equations
%K N-Wave Solution
%U http://article.sapub.org/10.5923.j.ajcam.20130301.02.html