Improved Tanh and Sech Methods for Obtaining New Exact Solutions: Applied to nonlinear evolution and transmission lines model equations - Couverture souple

M. Mousa, Mohamed

 
9783845443904: Improved Tanh and Sech Methods for Obtaining New Exact Solutions: Applied to nonlinear evolution and transmission lines model equations
Couverture souple
ISBN 10 : 3845443901 ISBN 13 : 9783845443904
Editeur : LAP LAMBERT Academic Publishing, 2011

Synopsis

Exact solutions to nonlinear evolution equations (NEEs) play an important role in nonlinear physical science, since the characteristics of these solutions may well simulate real-life physical phenomena. One of the benefits of finding new exact solutions to such nonlinear partial differential equations (PDEs) is to give a better understanding on the various characteristics of the solutions. The main task of this work is to show that our proposed methods, improved tanh and sech methods, are very efficient in solving various types of NEEs and PDEs including special equations than using classical tanh and sech methods. This efficiency is because of their rich with the multiple traveling wave solutions than classical tanh and sech methods. From the obtained results, we can not only recover the previous solutions obtained by some authors but also obtain some new and more general solitary wave, singular solitary wave and periodic solutions. Illustrating the theory of nonlinear transmission lines (NLTLs), showing the ability of NLTL to generate solitons and solving the model equation of NLTL in presence of loss are other tasks of this book.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Exact solutions to nonlinear evolution equations (NEEs) play an important role in nonlinear physical science, since the characteristics of these solutions may well simulate real-life physical phenomena. One of the benefits of finding new exact solutions to such nonlinear partial differential equations (PDEs) is to give a better understanding on the various characteristics of the solutions. The main task of this work is to show that our proposed methods, improved tanh and sech methods, are very efficient in solving various types of NEEs and PDEs including special equations than using classical tanh and sech methods. This efficiency is because of their rich with the multiple traveling wave solutions than classical tanh and sech methods. From the obtained results, we can not only recover the previous solutions obtained by some authors but also obtain some new and more general solitary wave, singular solitary wave and periodic solutions. Illustrating the theory of nonlinear transmission lines (NLTLs), showing the ability of NLTL to generate solitons and solving the model equation of NLTL in presence of loss are other tasks of this book.

Biographie de l'auteur

Dr. Mohamed M. Mousa born in Cairo (1978). He is lecturer at Benha faculty of engineering, Egypt. His areas of research interest are computational mathematics, numerical analysis, applications of fluid mechanics and solitons. He obtained his M.Sc. from Cairo University and his Ph.D. from Al-Farabi Kazakh national University, Kazakhstan.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2011
Langue
anglais
ISBN 10 
3845443901
ISBN 13 
9783845443904
Reliure
Broché
Nombre de pages
112
Coordonnées du fabricant
non disponible
Personne responsable
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