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Regular papers: |
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G. S. Medvedev and D. E. Pelinovsky,
Turing bifurcation in the Swift-Hohenberg equation on deterministic and random graphs
J. Nonlinear Science 34
(2024) 88 (36 pages)
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G.L. Alfimov, A.S. Korobeinikov, C.J. Lustri, and D.E. Pelinovsky,
Standing lattice solitons in the discrete NLS equation with saturation,
Nonlinearity 32, 3445-3484 (2019)
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G.L. Alfimov, E.V. Medvedeva, and D.E. Pelinovsky,
Wave systems with an infinite number of localized travelling waves,
Physical Review Letters 112, 054103 (5 pages)
(2014)
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D. Pelinovsky,
Traveling monotonic fronts in the discrete Nagumo equation,
Journal of Dynamics in Differential Equations
23, 167–183 (2011)
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H.J.Hupkes, D.E. Pelinovsky, and B. Sandstede,
Propagation failure in the discrete Nagumo equation,
Proceedings of the AMS
139, 3537–3551 (2011)
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T.R.O. Melvin, A.R. Champneys, and D.E. Pelinovsky,
Discrete traveling solitons in the Salerno model,
SIAM Journal of Applied Dynamical Systems 8,
689–709 (2009)
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D.E. Pelinovsky, T.R.O. Melvin and A.R. Champneys,
One-parameter localized traveling waves in nonlinear Schrodinger lattices,
Physica D 236,
22-43 (2007)
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D. Pelinovsky,
Translationally invariant nonlinear Schrodinger lattices,
Nonlinearity 19,
2695-2716 (2006)
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O.F. Oxtoby, D.E. Pelinovsky, and I.V. Barashenkov,
Travelling kinks in discrete phi-4 models,
Nonlinearity, 19,
217-235 (2006)
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G. Iooss and D.E. Pelinovsky,
Normal form for travelling kinks in discrete Klein-Gordon lattices,
Physica D 216,
327-345 (2006)
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A. Tovbis and D. Pelinovsky,
Exact conditions for existence of homoclinic orbits in the fifth-order
KdV model,
Nonlinearity, 19,
2277-2312 (2006)
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D.E. Pelinovsky and V.M. Rothos,
Bifurcations of travelling breathers in the discrete
NLS equations,
Physica D 202 16-36
(2005)
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I.V. Barashenkov, O.F. Oxtoby, and D.E. Pelinovsky,
Translationally invariant discrete kinks from one-dimensional maps,
Phys. Rev. E 72 035602(R) (2005)
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