Wave propagation in nonlinear parabolic problems and other problems
Abstract
Contents: Convergence to travelling waves of solutions of nonlinear diffusion equations; Stability of travelling pulses of systems of reaction-diffusion equations; The relation between the inverse scattering method for nonlinear wave equations and connection problems for certain nonlinear ordinary differential equations; and Stokes' conjecture concerning the existence of a wave of greatest height and the angle of its slope.
- Publication:
-
Final Report
- Pub Date:
- September 1978
- Bibcode:
- 1978ummi.rept.....M
- Keywords:
-
- Nonlinearity;
- Parabolic Differential Equations;
- Traveling Waves;
- Wave Propagation;
- Korteweg-Devries Equation;
- Partial Differential Equations;
- Wave Scattering;
- Communications and Radar