Moving lattice kinks and pulses: An inverse method
نویسندگان
چکیده
منابع مشابه
Moving lattice kinks and pulses: an inverse method.
We develop a general mapping from given kink or pulse shaped traveling-wave solutions including their velocity to the equations of motion on one-dimensional lattices which support these solutions. We apply this mapping-by definition an inverse method-to acoustic solitons in chains with nonlinear intersite interactions, nonlinear Klein-Gordon chains, reaction-diffusion equations, and discrete no...
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We study moving topological solitons (kinks and antikinks) in the nonlinear KleinGordon chain. These solitons are shown to exist with both monotonic (non-oscillating) and oscillating asymptotics (tails). Using the pseudo-spectral method, the (anti)kink solutions with oscillating background (so-called nanopterons) are found as travelling waves of permanent profile propagating with constant veloc...
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We consider a class of Hamiltonian nonlinear wave equations governing a field defined on a spatially discrete one dimensional lattice, with discreteness parameter, d = h, where h > 0 is the lattice spacing. The specific cases we consider in detail are the discrete sine-Gordon (SG) and discrete φ models. For finite d and in the continuum limit (d → ∞) these equations have static kink-like (heter...
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We consider a class of Hamiltonian nonlinear wave equations governing a field defined on a spatially discrete one dimensional lattice, with discreteness parameter, d = h −1 , where h > 0 is the lattice spacing. The specific cases we consider in detail are the discrete sine-Gordon (SG) and discrete φ 4 models. For finite d and in the continuum limit (d → ∞) these equations have static kink-like ...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1999
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.59.6105