Partial Differential Equations and Solitary Waves Theory

Part I. Partial Differential Equations

1. Basic Concepts
Abdul-Majid Wazwaz

2. First-order Partial Differential Equations
Abdul-Majid Wazwaz

3. One Dimensional Heat Flow
Abdul-Majid Wazwaz

4. Higher Dimensional Heat Flow
Abdul-Majid Wazwaz

5. One Dimensional Wave Equation
Abdul-Majid Wazwaz

6. Higher Dimensional Wave Equation
Abdul-Majid Wazwaz

7. Laplace’s Equation
Abdul-Majid Wazwaz

8. Nonlinear Partial Differential Equations
Abdul-Majid Wazwaz

9. Linear and Nonlinear Physical Models
Abdul-Majid Wazwaz

10. Numerical Applications and Padé Approximants
Abdul-Majid Wazwaz

11. Solitons and Compactons
Abdul-Majid Wazwaz

Part II. Solitray Waves Theory

12. Solitary Waves Theory
Abdul-Majid Wazwaz

13. The Family of the KdV Equations
Abdul-Majid Wazwaz

14. KdV and mKdV Equations of Higher-orders
Abdul-Majid Wazwaz

15. Family of KdV-type Equations
Abdul-Majid Wazwaz

16. Boussinesq, Klein-Gordon and Liouville Equations
Abdul-Majid Wazwaz

17. Burgers, Fisher and Related Equations
Abdul-Majid Wazwaz

18. Families of Camassa-Holm and Schrodinger Equations
Abdul-Majid Wazwaz

Keywords: Engineering, Appl.Mathematics/Computational Methods of Engineering, Engineering, general