Tuesday, July 23
8:30-10:30 AM

Multibump Solutions of Nonlinear Differential Equations

Multibump solutions are special solutions of nonlinear differential equations that have a prescribed number of oscillations. Such solutions figure prominently in the study of the existence, multiplicity, and the stability of nonlinear wave solutions of evolutionary p.d.e. Several methods have recently been devised in the analysis of multibump solutions which draw upon geometric and topological methods arising in dynamical sytems theory. The speakers in this minisymposium will discuss these advances, both generally, and in the context of several specific applications including multipulse solutions in nonlinear optics, multiple kink and homoclinic solutions of the extended KPP equation, and black-hole and particle-like solutions of the Einstein/Yang-Mills equations.

Organizer: Robert A. Gardner
University of Massachusetts, Amherst

8:30 Spectral Analysis of Long Wavelength Periodic Waves
Robert A. Gardner, Organizer
9:00 Multibump Heteroclinic Orbits for the Extended Fisher-Kolmogorov Equation
L.A. Peletier, Leiden University, The Netherlands; and W.C. Troy, University of Pittsburgh
9:30 Stability of Multiple-Pulse Solutions
Bjorn Sandstede, Brown University
10:00 Multibump Solutions of Nonlinear Differential Equations
Joel A. Smoller, University of Michigan, Ann Arbor

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MMD, 5/20/96