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J Phys Soc Jpn, ISSN 0031-9015, 12/2012, Volume 81, Issue 12, pp. 124007 - 124007-4
The Fokas--Lenells (FL) equation arises as a model equation which describes for nonlinear pulse propagation in optical fibers by retaining terms up to the next leading asymptotic order... 
Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology | Mathematical models | Schrodinger equation | Propagation | Asymptotic methods | Fiber optics | Optical fibers | Wave propagation | Asymptotic properties | Mathematical analysis | Nonlinearity | Transformations | Schroedinger equation | Representations
Journal Article
Letters in mathematical physics, ISSN 1573-0530, 10/2018, Volume 109, Issue 4, pp. 945 - 973
Journal Article
Nonlinear dynamics, ISSN 0924-090X, 1/2016, Volume 83, Issue 1, pp. 731 - 738
...–Milovic equation that serves as a generalized version of the usual nonlinear Schrodinger’s equation. Several integration schemes are implemented to secure solitons and other solutions to the model... 
Engineering | Vibration, Dynamical Systems, Control | Biswas–Milovic equation | Integrability | Optical solitons | Mechanics | Automotive Engineering | Mechanical Engineering | Optical fibers | Schroedinger equation | Power law | Solitary waves | Mathematical analysis | Solitons | Nonlinearity | Mathematical models | Cases
Journal Article
Journal of mathematical physics, ISSN 1089-7658, 04/2012, Volume 53, Issue 4, pp. 043507 - 043507-7
This paper considers the fractional Schrödinger equation with unbounded potential... 
Physical Sciences | Physics | Physics, Mathematical | Science & Technology | Standing waves | Manifolds | Ground state | Schroedinger equation | Lagrange multipliers | Mathematical analysis
Journal Article
Journal of dynamics and differential equations, ISSN 1040-7294, 3/2019, Volume 31, Issue 1, pp. 369 - 383
This paper is dedicated to studying the semilinear Schrödinger equation $$\begin{aligned} \left\{ \begin{array}{ll} -\triangle u+V(x)u=f(x, u), \quad x... 
35J20 | Local super-quadratic conditions | Ordinary Differential Equations | 35J60 | Mathematics | Superlinear | Applications of Mathematics | Partial Differential Equations | Schrödinger equation | Asymptotically linear | Physical Sciences | Mathematics, Applied | Science & Technology | Schroedinger equation | Coercivity
Journal Article
Manuscripta mathematica, ISSN 0025-2611, 3/2018, Volume 155, Issue 3, pp. 471 - 501
Given a complete, smooth metric measure space $$(M,g,e^{-f}dv)$$ (M,g,e-fdv) with the Bakry–Émery Ricci curvature bounded from below, various gradient estimates for solutions of the following general f-heat equations... 
Geometry | Topological Groups, Lie Groups | Calculus of Variations and Optimal Control; Optimization | 53C21 | Mathematics, general | Algebraic Geometry | 35R01 | Mathematics | Number Theory | 58J35 | Physical Sciences | Science & Technology | Thermodynamics | Nonlinear equations | Schroedinger equation | Mathematical analysis | Curvature
Journal Article
Optics letters, ISSN 1539-4794, 03/2015, Volume 40, Issue 6, pp. 1117 - 1120
In quantum mechanics, the space-fractional Schrodinger equation provides a natural extension of the standard Schrodinger equation when the Brownian trajectories in Feynman path integrals are replaced by Levy flights... 
Optics | Physical Sciences | Science & Technology | Integrals | Dynamics | Quantum mechanics | Holes | Optical pumping | Schroedinger equation | Laser beams | Standards
Journal Article
Numerical algorithms, ISSN 1572-9265, 12/2017, Volume 79, Issue 1, pp. 337 - 356
Journal Article
Journal of dynamics and differential equations, ISSN 1572-9222, 08/2015, Volume 29, Issue 3, pp. 1017 - 1030
Journal Article
Probability theory and related fields, ISSN 0178-8051, 12/2017, Volume 169, Issue 3, pp. 1121 - 1168
Journal Article