Partial Differential Equations and Solitary Waves Theory

• Main Author: Wazwaz, Abdul-Majid. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Nonlinear Physical Science,
• Subjects: Engineering.; Engineering mathematics.; Appl.Mathematics/Computational Methods of Engineering.; Engineering, general.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-00251-9

"Partial Differential Equations and Solitary Waves Theory" is a self-contained book divided into two parts: Part I is a coherent survey bringing together newly developed methods for solving PDEs. While some traditional techniques are presented, this part does not require thorough understan...

Table of Contents:

• 1. Basic Concepts
• 2. First Order PDE
• 3. One-Dimensional Heat Flow
• 4. Higher Dimensional Heat Flow
• 5. One Dimensional Wave Equation
• 6. Higher Dimensional Wave Equation
• 7. Laplace's Equation
• 8. Nonlinear Equations
• 9. Physical Models
• 10. Numerical Applications
• 11. Solitons and Compactons
• 12. Solitary Wave 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. Camassa-Holm and Schrodinger Equations.