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

Uta Naether; Rodrigo A. Vicencio; Magnus Johansson

doi:10.1103/physreve.83.036601

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

Physical Review E ◽

10.1103/physreve.83.036601 ◽

2011 ◽

Vol 83 (3) ◽

Cited By ~ 16

Author(s):

Uta Naether ◽

Rodrigo A. Vicencio ◽

Magnus Johansson

Keyword(s):

Two Dimensional ◽

Nonlinear Schrödinger ◽

Energy Surfaces ◽

Discrete Solitons

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Stability of one and two-dimensional spatial solitons in a cubic-quintic-septimal nonlinear Schrödinger equation with fourth-order diffraction and PT-symmetric potentials

Wave Motion ◽

10.1016/j.wavemoti.2021.102810 ◽

2021 ◽

pp. 102810

Author(s):

Boubakary Abdou ◽

Fabien II Ndzana ◽

Latchio Tiofack Gaston ◽

Alidou Mohamadou

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Two Dimensional ◽

Spatial Solitons ◽

Nonlinear Schrödinger ◽

Order Diffraction

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Simple multiple explode–decay mode solutions of a two‐dimensional nonlinear Schrödinger equation

Journal of Mathematical Physics ◽

10.1063/1.525361 ◽

1982 ◽

Vol 23 (3) ◽

pp. 417-420 ◽

Cited By ~ 9

Author(s):

Akira Nakamura

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Decay Mode ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Two Dimensional ◽

Nonlinear Schrödinger

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Modulation instability in two-dimensional nonlinear Schrödinger lattice models with dispersion and long-range interactions

Physical Review B ◽

10.1103/physrevb.68.014305 ◽

2003 ◽

Vol 68 (1) ◽

Cited By ~ 10

Author(s):

Ljupčo Hadžievski ◽

Milutin Stepić ◽

Miloš M. Škorić

Keyword(s):

Long Range ◽

Modulation Instability ◽

Lattice Models ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Long Range Interactions

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Exact solutions of a two-dimensional nonlinear Schrödinger equation

Applied Mathematics Letters ◽

10.1016/j.aml.2011.09.030 ◽

2012 ◽

Vol 25 (4) ◽

pp. 687-691 ◽

Cited By ~ 96

Author(s):

Aly R. Seadawy

Keyword(s):

Schrödinger Equation ◽

Exact Solutions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Two Dimensional ◽

Nonlinear Schrödinger

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Global Existence for Two Dimensional Quadratic Derivative Nonlinear Schrödinger Equations

Communications in Partial Differential Equations ◽

10.1080/03605302.2011.626099 ◽

2012 ◽

Vol 37 (4) ◽

pp. 732-752 ◽

Cited By ~ 3

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin

Keyword(s):

Global Existence ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Existence and uniqueness of two dimensional Euler-Poisson system and WKB approximation to the nonlinear Schrödinger-Poisson system

Journal of Mathematical Physics ◽

10.1063/1.4936164 ◽

2015 ◽

Vol 56 (12) ◽

pp. 121502

Author(s):

Satoshi Masaki ◽

Takayoshi Ogawa

Keyword(s):

Existence And Uniqueness ◽

Wkb Approximation ◽

Two Dimensional ◽

Poisson System ◽

Nonlinear Schrödinger

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Two-Dimensional Nonlinear Schrodinger Equations and Their Properties

10.21236/ada272184 ◽

1993 ◽

Author(s):

D. J. Kaup ◽

Ronald E. Kates

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Short-wave transverse instabilities of line solitons of the two-dimensional hyperbolic nonlinear Schrödinger equation

Theoretical and Mathematical Physics ◽

10.1007/s11232-014-0154-1 ◽

2014 ◽

Vol 179 (1) ◽

pp. 452-461 ◽

Cited By ~ 9

Author(s):

D. E. Pelinovsky ◽

E. A. Rouvinskaya ◽

O. E. Kurkina ◽

B. Deconinck

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Short Wave ◽

Nonlinear Schrodinger Equation ◽

Two Dimensional ◽

Nonlinear Schrödinger

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Far-infrared spectra and two-dimensional potential energy surfaces for the out-of-plane ring vibrations of tetrahydrofuran-3-one in its S0 and S1(n,π*) electronic states

The Journal of Chemical Physics ◽

10.1063/1.476335 ◽

1998 ◽

Vol 108 (21) ◽

pp. 8884-8890 ◽

Cited By ~ 1

Author(s):

SooNo Lee ◽

Niklas Meinander ◽

Paul Sagear ◽

Deb N. Nath ◽

Jaan Laane

Keyword(s):

Potential Energy ◽

Infrared Spectra ◽

Potential Energy Surfaces ◽

Electronic States ◽

Far Infrared ◽

Two Dimensional ◽

Out Of Plane ◽

Energy Surfaces ◽

Far Infrared Spectra

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Diffraction management and elliptic discrete solitons in two-dimensional waveguide array lattices

Postconference Digest Quantum Electronics and Laser Science, 2003. QELS. ◽

10.1109/qels.2003.238444 ◽

2003 ◽

Cited By ~ 1

Author(s):

J. Hudock ◽

N.K. Efremidis ◽

D.N. Christodoulides

Keyword(s):

Waveguide Array ◽

Two Dimensional ◽

Discrete Solitons

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