On Linear Superposition Principle Applying to Hirota Bilinear Equations
Year: 2013
Type: article
Abstract: 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 co mb ination of exponential travelling waves. Applications are made for Sawada-Kotera and a (2+1)-d imensional 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 examp les are presented, together with an algorithm using weights.
Authors: M. Y. Adamu, Enoch Suleiman
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W2151000203