Soliton Solution of Good Boussinesq Equation

Using Hirota’s direct bilinear method, we develop the soliton solution of the good Boussinesq equation. A mathematical justification of the solution formula is presented. Besides, the obtained result is compared to the existing solution obtained by the Wronskian formulation and a detailed discussion...

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Bibliographic Details
Published in:	Vietnam journal of mathematics Vol. 44; no. 2; pp. 375 - 385
Main Author:	Nguyen, Lu Trong Khiem
Format:	Journal Article
Language:	English
Published:	Singapore Springer Singapore 01-06-2016
Subjects:	Mathematics Mathematics and Statistics Hirota’s bilinear method 02.30.Jr 02.30.Ik Boussinesq equation Soliton equation
Online Access:	Get full text
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Summary:	Using Hirota’s direct bilinear method, we develop the soliton solution of the good Boussinesq equation. A mathematical justification of the solution formula is presented. Besides, the obtained result is compared to the existing solution obtained by the Wronskian formulation and a detailed discussion on their structures is provided.
ISSN:	2305-221X 2305-2228
DOI:	10.1007/s10013-015-0157-8