Traveling Wave Analysis of Partial Differential Equations

"The Different Partial Equations (PDE)." This is often done with PDEs that have known, exact, analytical solutions. The development of analytical solutions is also an important area for research, with many advances being analyzed recently. Thus, the current development of numerical methods.

This book surveys some of the new developments in PDE examples. The PDEs that have been selected are largely "named" by the PDEs are widely recognized. and analytical methods based on the PDEs to ODEs.

• Includes a spectrum of applications in science, engineering, applied mathematics


• Presents a combination of numerical and analytical methods


• Provides transportable computer codes in Matlab and Maple

1. Traveling wave, residual function methods for analytical solutions to PDEs;
2. Linear advection equation;
3. Linear diusion equation;
4. Linear convection diusion reaction equation;
5. Diusion equation with nonlinear source terms;
6. Burgers-Huxley equation;
7. Burgers-Fisher equation;
8. Fisher-Kolmogorov equation;
9. Fitzhugh-Nagumo equation;
10. Fisher-Kolmogorov-Petrovskii-Piskunov equation;
11. Kuramoto-Sivashinsky equation;
12. Kawahara equation;
13. Benjamin-Bona-Mahoney (RLW) equation;
14. Extended Bernoulli equation;
15. Hyperbolic Liouville equation;
16. Sine-Gordon equation;
17. Mth order Klein-Gordon equation;
18. Boussinesq equation;
19. Modied wave equation;
20. Appendix 1 - Analytical solution methods for traveling wave problems;