Travelling waves for an infinite lattice Multibump type solutions (Q1284663)
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scientific article; zbMATH DE number 1279186
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Travelling waves for an infinite lattice Multibump type solutions |
scientific article; zbMATH DE number 1279186 |
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Travelling waves for an infinite lattice Multibump type solutions (English)
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25 May 1999
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The paper deals with a one-dimensional infinite lattice of particles with nearest neighbour interaction. The solutions were found as critical points of certain functionals invariant under a group isomorphic to \(\mathbb{R}\). Therefore all previous approaches which were based on invariance property under a non-compact but discrete group don't seem to work. Moreover, the author proves a multiplicity result in the non-autonomous case.
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noncompact group
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multiplicity of solutions
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infinite lattice
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