Partial Differential Equations and Solitary Waves Theory by Abdul Majid Wazwaz
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About this book :-
Partial Differential Equations and Solitary Waves Theory written by
Abdul-Majid Wazwaz.
Partial Differential Equations and Solitary Waves Theory is designed to serve as a text and a reference. The book is designed to be accessible to advanced undergraduate and beginning graduate students as well as research monograph to researchers in applied mathematics, science and engineering. This text is different from other texts in that it explains classical methods in a non abstract way and it introduces and explains how the newly developed methods provide more concise methods to provide efficient results.
Partial Differential Equations and Solitary Waves Theory is designed to focus readers’ attentions on these recently developed valuable techniques that have proven their effectiveness and reliability over existing classical methods. Moreover, this text also explains the necessary classical methods because the aim is that new methods would complement the traditional methods in order to improve the understanding of the material. The book avoids approaching the subject through the compact and classical methods that make the material impossible to be grasped, especially by students who do not have the background in these abstract concepts. Compact theorems and abstract handling of the material are not presented in this text.
The book was developed as a result of many years of experience in teaching partial differential equations and conducting research work in this field. The author has taken account on his teaching experience, research work as well as valuable suggestions received from students and scholars from a wide variety of audience. Numerous examples and exercises, ranging in level from easy to difficult, but consistent with the material, are given in each section to give the reader the knowledge, practice and skill in partial differential equations and solitary waves theory. There is plenty of material in this text to be covered in two semesters for senior undergraduates and beginning graduates of Mathematics, Science, and Engineering.
(Abdul Majid Wazwaz)
Book Detail :-
Title: Partial Differential Equations and Solitary Waves Theory
Edition:
Author(s): Abdul-Majid Wazwaz
Publisher: Higher Education Press; Springer
Series: Nonlinear Physical Science
Year: 2009
Pages: 761
Type: PDF
Language: English
ISBN: 3642002501,9783642002502,9787040254808,7040254808
Country: US
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About Author :-
The author Abdul Majid Wazwaz is Professor of Mathematics, Department of Mathematics, Saint Xavier University, Chicago, IL 60655, US.
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Book Contents :-
Partial Differential Equations and Solitary Waves Theory written by
Abdul Majid Wazwaz
cover the following topics.
'
Part-I Partial Differential Equations
1. Basic Concepts
2. First-order Partial Differential Equations
3. One Dimensional Heat Flow
4. Higher Dimensional Heat Flow
5. One Dimensional Wave Equation
6. Higher DimensionalWave Equation
7. Laplace’s Equation
8. Nonlinear Partial Differential Equations
9. Linear and Nonlinear Physical Models.
10. Numerical Applications and Pad´e Approximants.
11. Solitons and Compactons.
Part-II SolitrayWaves Theory
12. SolitaryWaves Theory
13. The Family of the KdV Equations
14. KdV and mKdV Equations of Higher-orders
15. Family of KdV-type Equations.
16. Boussinesq, Klein-Gordon and Liouville Equations
17. Burgers, Fisher and Related Equations.
18. Families of Camassa-Holm and Schrodinger Equations
Appendix A Indefinite Integrals
Appendix B Series
Appendix C Exact Solutions of Burgers’ Equation.
Appendix D Pad´e Approximants forWell-Known Functions.
Appendix E The Error and Gamma Functions.
Appendix F Infinite Series.
Answers
Index
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