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Items: 1 to 20 of 124

1.

Soliton theory of two-dimensional lattices: the discrete nonlinear schrödinger equation.

Arévalo E.

Phys Rev Lett. 2009 Jun 5;102(22):224102. Epub 2009 Jun 4.

PMID:
19658867
2.

Statistical mechanics of a discrete Schrödinger equation with saturable nonlinearity.

Samuelsen MR, Khare A, Saxena A, Rasmussen KØ.

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Apr;87(4):044901. Epub 2013 Apr 17.

PMID:
23679552
3.

When linear stability does not exclude nonlinear instability.

Kevrekidis PG, Pelinovsky DE, Saxena A.

Phys Rev Lett. 2015 May 29;114(21):214101. Epub 2015 May 29.

PMID:
26066436
4.

Power controlled soliton stability and steering in lattices with saturable nonlinearity.

Hadzievski L, Maluckov A, Stepić M, Kip D.

Phys Rev Lett. 2004 Jul 16;93(3):033901. Epub 2004 Jul 12.

PMID:
15323822
5.

Special soliton structures in the (2+1)-dimensional nonlinear Schrödinger equation with radially variable diffraction and nonlinearity coefficients.

Zhong WP, Belić MR, Xia Y.

Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Mar;83(3 Pt 2):036603. Epub 2011 Mar 14.

PMID:
21517612
6.

Exact traveling-wave and spatiotemporal soliton solutions to the generalized (3+1)-dimensional Schrödinger equation with polynomial nonlinearity of arbitrary order.

Petrović NZ, Belić M, Zhong WP.

Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Feb;83(2 Pt 2):026604. Epub 2011 Feb 28.

PMID:
21405921
7.

Moving solitons in the discrete nonlinear Schrödinger equation.

Oxtoby OF, Barashenkov IV.

Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Sep;76(3 Pt 2):036603. Epub 2007 Sep 13.

PMID:
17930353
8.

Solitons in triangular and honeycomb dynamical lattices with the cubic nonlinearity.

Kevrekidis PG, Malomed BA, Gaididei YB.

Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Jul;66(1 Pt 2):016609. Epub 2002 Jul 24.

PMID:
12241502
9.

Transport in simple networks described by an integrable discrete nonlinear Schrödinger equation.

Nakamura K, Sobirov ZA, Matrasulov DU, Sawada S.

Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Aug;84(2 Pt 2):026609. Epub 2011 Aug 15.

PMID:
21929130
10.

Nonlinear Schrödinger equation with spatiotemporal perturbations.

Mertens FG, Quintero NR, Bishop AR.

Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Jan;81(1 Pt 2):016608. Epub 2010 Jan 20.

PMID:
20365492
11.

Discrete soliton mobility in two-dimensional waveguide arrays with saturable nonlinearity.

Vicencio RA, Johansson M.

Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Apr;73(4 Pt 2):046602. Epub 2006 Apr 5.

PMID:
16711937
12.

Soliton stability criterion for generalized nonlinear Schrödinger equations.

Quintero NR, Mertens FG, Bishop AR.

Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Jan;91(1):012905. Epub 2015 Jan 9.

PMID:
25679680
13.

Mobility of discrete multibreathers in the exciton dynamics of the Davydov model with saturable nonlinearities.

Tchinang Tchameu JD, Togueu Motcheyo AB, Tchawoua C.

Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Oct;90(4):043203. Epub 2014 Oct 21.

PMID:
25375614
14.

Peierls-Nabarro energy surfaces and directional mobility of discrete solitons in two-dimensional saturable nonlinear Schrödinger lattices.

Naether U, Vicencio RA, Johansson M.

Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Mar;83(3 Pt 2):036601. Epub 2011 Mar 7.

PMID:
21517610
15.

Modulational instability in two-component discrete media with cubic-quintic nonlinearity.

Baizakov BB, Bouketir A, Messikh A, Umarov BA.

Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Apr;79(4 Pt 2):046605. Epub 2009 Apr 9.

PMID:
19518369
16.

Compactons in nonlinear Schrödinger lattices with strong nonlinearity management.

Abdullaev FKh, Kevrekidis PG, Salerno M.

Phys Rev Lett. 2010 Sep 10;105(11):113901. Epub 2010 Sep 8.

PMID:
20867574
17.

Dynamical stabilization of solitons in cubic-quintic nonlinear Schrödinger model.

Abdullaev FKh, Garnier J.

Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Sep;72(3 Pt 2):035603. Epub 2005 Sep 13.

PMID:
16241508
18.

Compactification tuning for nonlinear localized modes in sawtooth lattices.

Johansson M, Naether U, Vicencio RA.

Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Sep;92(3):032912. doi: 10.1103/PhysRevE.92.032912. Epub 2015 Sep 17.

PMID:
26465545
19.

Stability of stationary states in the cubic nonlinear Schrödinger equation: applications to the Bose-Einstein condensate.

Carr LD, Kutz JN, Reinhardt WP.

Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Jun;63(6 Pt 2):066604. Epub 2001 May 18.

PMID:
11415239
20.

Modeling relativistic soliton interactions in overdense plasmas: a perturbed nonlinear Schrödinger equation framework.

Siminos E, Sánchez-Arriaga G, Saxena V, Kourakis I.

Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Dec;90(6):063104. Epub 2014 Dec 3.

PMID:
25615203
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