On the impact of FPU lattice discreteness upon solitary wave interactions
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Publication:707167
DOI10.1016/j.physd.2004.09.015zbMath1153.37431OpenAlexW1970581796MaRDI QIDQ707167
Publication date: 9 February 2005
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2004.09.015
Numerical simulationExistence and uniquenessEvolution equationFPULattice discretenessSolitary wave interactionSoliton
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
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Cites Work
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- Semigroups of linear operators and applications to partial differential equations
- Existence theorem for solitary waves on lattices
- Solitary waves with prescribed speed on infinite lattices
- Travelling waves in a chain of coupled nonlinear oscillators
- Contribution of Higher Order Terms in the Reductive Perturbation Theory. I. A Case of Weakly Dispersive Wave
- Contribution of the Second Order Terms to the Nonlinear Shallow Water Waves
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Solitary waves on FPU lattices: II. Linear implies nonlinear stability
- The second approximation to cnoidal and solitary waves
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Soliton interactions (for the Korteweg-deVries equation): a new perspective
- A Modern Introduction to the Mathematical Theory of Water Waves
- Solitary waves on Fermi–Pasta–Ulam lattices: III. Howland-type Floquet theory
- Solitary waves on Fermi–Pasta–Ulam lattices: IV. Proof of stability at low energy
- Travelling waves in the Fermi-Pasta-Ulam lattice
- Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit
- Multiscale correction to solitary wave solutions on FPU lattices
- Multiscale correction to solitary wave solutions on FPU lattices
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