Solitary waves and kinks in FPU lattices with soft-hard-soft trilinear interactions

Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60)

Cites Work

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Existence theorem for solitary waves on lattices
Finite size effects on instabilities of discrete breathers
Dynamics of non-equilibrium phase boundaries in a heat conducting nonlinearly elastic medium
Compact patterns in a class of sublinear Gardner equations
Solitary waves in FPU-type lattices
Stability of traveling waves in a driven Frenkel-Kontorova model
Flatons: flat-top solitons in extended Gardner-like equations
Action minimising fronts in general FPU-type chains
Continuum approach to discreteness
Heteroclinic Travelling Waves in Convex FPU-Type Chains
Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
Solitary phase waves in a chain of autonomous oscillators
Breathers in nonlinear lattices: numerical calculation from the anticontinuous limit
Solitary waves on Fermi–Pasta–Ulam lattices: III. Howland-type Floquet theory
Travelling waves in the Fermi-Pasta-Ulam lattice
An energy-based stability criterion for solitary travelling waves in Hamiltonian lattices
Quasi-Continuum Approximation for Discrete Breathers in Fermi–Pasta–Ulam Atomic Chains
Supersonic kinks and solitons in active solids
Waves in strongly nonlinear Gardner-like equations on a lattice
Discontinuous shock solutions of the Whitham modulation equations as zero dispersion limits of traveling waves
The Fermi–Pasta–Ulam problem: Fifty years of progress
Traveling fronts in dissipative granular chains and nonlinear lattices
Feeding and dissipative waves in fracture and phase transition. I: Some 1D structures and a square-cell lattice. II: Phase-transition waves
When discrete fronts and pulses form a single family: FPU chain with hardening-softening springs

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