Zagazig University Digital Repository
Home
Thesis & Publications
All Contents
Publications
Thesis
Graduation Projects
Research Area
Research Area Reports
Search by Research Area
Universities Thesis
ACADEMIC Links
ACADEMIC RESEARCH
Zagazig University Authors
Africa Research Statistics
Google Scholar
Research Gate
Researcher ID
CrossRef
Group similarity solutions of the lax pair for a generalized Hirota-Satsuma equation
Faculty
Science
Year:
2013
Type of Publication:
Article
Pages:
7882-7890
Authors:
Mabrouk, S, Kassem, M, Abd-el-Malek, M
DOI:
10.1016/j.amc.2013.02.013
Journal:
APPLIED MATHEMATICS AND COMPUTATION ELSEVIER SCIENCE INC
Volume:
219
Research Area:
Mathematics
ISSN
ISI:000316668800059
Keywords :
Non linear traveling waves, Lax pair, Group transformation method, Homogenous balance, Degasperis equation
Abstract:
A modified version of generalized Hirota-Satsuma is here analytically solved using a two parameter group transformation method. We here through a Group symmetry transformation reduce its lax pair to a system of ordinary equations and find new solutions. Three similarity transformation variables are investigated. For each case an analytical solution is obtained through a homogenous balance of terms in the reduced lax pair. The obtained results are plotted and show a profile proper to deflagration processes, well described by Degasperis-Procesi equation. (c) 2013 Elsevier Inc. All rights reserved.
Online
PDF
جامعة المنصورة
جامعة الاسكندرية
جامعة القاهرة
جامعة سوهاج
جامعة الفيوم
جامعة بنها
جامعة دمياط
جامعة بورسعيد
جامعة حلوان
جامعة السويس
شراقوة
جامعة المنيا
جامعة دمنهور
جامعة المنوفية
جامعة أسوان
جامعة جنوب الوادى
جامعة قناة السويس
جامعة عين شمس
جامعة أسيوط
جامعة كفر الشيخ
جامعة السادات
جامعة طنطا
جامعة بنى سويف