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Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 04/2019, Volume 69, pp. 248 - 260
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 05/2018, Volume 51, Issue 23, p. 235201
Fractional nonlinear differential equations present an interplay between two common and important effective descriptions used to simplify high dimensional or... 
nonlinear Schrodinger equation | fractional solitons | fractional derivative | PHYSICS, MULTIDISCIPLINARY | DIFFERENTIAL-EQUATIONS | ADOMIAN DECOMPOSITION | PHYSICS, MATHEMATICAL | HOMOTOPY ANALYSIS METHOD | VARIATIONAL ITERATION METHOD | ORDER | APPROXIMATE | GINZBURG-LANDAU EQUATION | DYNAMICS | DIFFUSION | WAVE-EQUATIONS
Journal Article
PHYSICA SCRIPTA, ISSN 0031-8949, 08/2019, Volume 94, Issue 8, p. 85402
We investigate the stability and the dynamical properties of one-dimensional interwires polar soliton molecules in a biwire setup with dipole moments aligned... 
biwire system | NLSE | PHYSICS, MULTIDISCIPLINARY | dipole-dipole interaction | soliton molecules | Physics - Pattern Formation and Solitons
Journal Article
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, ISSN 0953-4075, 05/2019, Volume 52, Issue 9, p. 95301
Analytic expressions have been derived for the interaction potential between dipolar bright solitons and the binding energy of a two-soliton molecule. The... 
soliton | dipolar condensate | interaction potential | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | OPTICS | bound state | DROPLETS
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 11/2014, Volume 90, Issue 5
We derive exact analytic solutions of nonlinear Dirac equations with Kerr- like cubic nonlinearity. The equations model, among many physical systems, a... 
EXISTENCE | SOLITONS | ANALOG | STATIONARY STATES | FIELD | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | WAVE-GUIDE ARRAYS | OPTICS
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 05/2010, Volume 81, Issue 5, pp. 056603 - 056603
The problem of soliton-soliton force is revisited. From the exact two-soliton solution of a nonautonomous Gross-Pitaevskii equation, we derive a generalized... 
BOUND-STATES | PHYSICS, FLUIDS & PLASMAS | GINZBURG-LANDAU EQUATION | SYSTEMS | PHYSICS, MATHEMATICAL | SOLITON | PULSES
Journal Article
Communications in Theoretical Physics, ISSN 0253-6102, 08/2016, Volume 66, Issue 2, pp. 171 - 178
We derive the Lax pairs and integrability conditions of the nonlinear Schrodinger equation with higher-order terms, complex potentials, and time-dependent... 
integrability | Lax pair | exact solutions | Time dependence | Similarity | Mathematical analysis | Nonlinearity | Transformations | Schroedinger equation | Derivatives | Integral calculus
Journal Article
International Journal of Differential Equations, ISSN 1687-9643, 01/2018, Volume 2018, pp. 1 - 10
It is known that power series expansion of certain functions such as sech⁡(x) diverges beyond a finite radius of convergence. We present here an iterative... 
Differential equations | Nonlinear equations | Divergence | Nonlinear analysis | Taylor series | Computational mathematics | Power series | Convergence | Studies | Problems | Numerical analysis | Algebra | Algorithms | Robustness (mathematics) | Applied mathematics | Series expansion | Ordinary differential equations | Runge-Kutta method | Iterative methods | Power | Methods
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 05/2012, Volume 85, Issue 5, pp. 056604 - 056604
We consider two-dimensional bright matter-wave solitons in two-dimensional Bose-Einstein condensates. From the asymptotic form of their wave function, we... 
MODE VECTOR SOLITONS | TRAINS | PHYSICS, FLUIDS & PLASMAS | STABILITY | BEAMS | SYSTEMS | PHYSICS, MATHEMATICAL | PROPAGATION
Journal Article
Europhysics Letters, ISSN 0295-5075, 03/2013, Volume 101, Issue 5, pp. P1 - P1
  In this study, the authors study the flow of bright solitons through two asymmetric potential wells. The scattering of a soliton by a certain type of single... 
Asymmetry | Scattering | Solitons | Gaussian | Wells | Transport | Diodes | Critical velocity
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 05/2010, Volume 51, Issue 5, p. 53506
We derive the integrability conditions of nonautonomous nonlinear Schrödinger equations using the Lax pair and similarity transformation methods. We present a... 
PHYSICS, MATHEMATICAL | GROSS-PITAEVSKII EQUATION | SOLITONS
Journal Article
Physical Review A, ISSN 1050-2947, 10/2013, Volume 88, Issue 4
Journal Article
Physics Letters A, ISSN 0375-9601, 2009, Volume 373, Issue 31, pp. 2710 - 2716
We consider a general form of the Gross–Pitaevskii equation with time- and space-dependent effective mass, external potential and strength of interatomic... 
MANAGEMENT | PHYSICS, MULTIDISCIPLINARY | DARK SOLITONS | DISPERSION | PARTIAL-DIFFERENTIAL EQUATIONS | DYNAMICS | INTERFERENCE | PAINLEVE PROPERTY | NONLINEAR SCHRODINGER-EQUATION | LAX PAIRS | BRIGHT
Journal Article
Optics Letters, ISSN 0146-9592, 2015, Volume 40, Issue 12, pp. 2719 - 2722
We present a proposal for realizing a unidirectional flow of discrete solitons in optical waveguide arrays or coupled resonator optical waveguides. Our... 
OPTICAL DIODE | OPTICS | Mathematical analysis | Solitons | Waveguides | Nonlinearity | Proposals | Arrays | Optical waveguides | Switching
Journal Article
Physics Letters A, ISSN 0375-9601, 12/2013, Volume 377, Issue 41, pp. 2944 - 2949
We study the effect of time-dependent linear and quadratic potentials on the profile and dynamics of rogue waves represented by a Peregrine soliton. The... 
DYNAMICS | MODULATION INSTABILITY | PHYSICS, MULTIDISCIPLINARY | NONLINEAR SCHRODINGER-EQUATION | DISPERSION | SOLITON | Water waves | Lasers | Amplitudes
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 05/2010, Volume 51, Issue 5
We derive the integrability conditions of nonautonomous nonlinear Schroedinger equations using the Lax pair and similarity transformation methods. We present a... 
MATHEMATICAL SPACE | NONLINEAR PROBLEMS | SCHROEDINGER EQUATION | SPACE DEPENDENCE | INTEGRAL EQUATIONS | FUNCTIONS | MATHEMATICAL METHODS AND COMPUTING | TRANSFORMATIONS
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 05/2010, Volume 51, Issue 5, pp. 053506 - 053506-11
We derive the integrability conditions of nonautonomous nonlinear Schrödinger equations using the Lax pair and similarity transformation methods. We present a... 
Journal Article
Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 2001, Volume 64, Issue 4, pp. 436121 - 4361214
Journal Article
EPL, ISSN 0295-5075, 03/2013, Volume 101, Issue 5, p. 50008
We study the flow of bright solitons through two asymmetric potential wells. The scattering of a soliton by a certain type of single potential wells, e.g.,... 
QUANTUM REFLECTION | RESONANT-TUNNELING DIODES | PHYSICS, MULTIDISCIPLINARY | MATTER-WAVE SOLITONS | PROPAGATION | SCATTERING | Physics - Pattern Formation and Solitons
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 10/2013, Volume 88, Issue 4
We investigate the stability of N-soliton molecules in dispersion-managed optical fibers with focus on the recently realized 2- and 3-soliton molecules. We... 
SYSTEMS | TRANSMISSION | OPTICS | COMMUNICATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | MATHEMATICAL-THEORY | Physics - Pattern Formation and Solitons
Journal Article
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