"The Nonlinear Schrödinger Equation" ed. by Nalan Antar, İlkay Bakırtaş
ITexLi | 2022 | ISBN: 1839699795 9781839699795 1839699787 9781839699788 1839699809 9781839699801 | 148 pages | PDF | 10 MB
ITexLi | 2022 | ISBN: 1839699795 9781839699795 1839699787 9781839699788 1839699809 9781839699801 | 148 pages | PDF | 10 MB
This book aims to capture different perspectives of researchers on the nonlinear Schrödinger equation arising from theoretical, numerical, and experimental aspects. This book provides scientists, researchers, and engineers as well as graduate and post-graduate students working on or interested in the nonlinear Schrödinger equation with an in-depth discussion of the latest advances in nonlinear optics and quantum physics.
The nonlinear Schrödinger equation is a prototypical dispersive nonlinear partial differential equation that has been derived in many areas of physics and analyzed mathematically for many years. The chapters cover a variety of topics related to nonlinear optics, quantum mechanics, and physics.
Contents
1. Lattice Solitons in a Nonlocal Nonlinear Medium with Self-Focusing and Self-Defocusing Quintic Nonlinearity
2. Soliton Like-Breather Induced by Modulational Instability in a Generalized Nonlinear Schrödinger Equation
3. A Comparison of the Undetermined Coefficient Method and the Adomian Decomposition Method for the Solutions of the Sasa-Satsuma Equation
4. Resonant Optical Solitons in (3 + 1)-Dimensions Dominated by Kerr Law and Parabolic Law Nonlinearities
5. Traveling Wave Solutions and Chaotic Motions for a Perturbed Nonlinear Schrödinger Equation with Power-Law Nonlinearity and Higher-Order Dispersions
6. Non-Manakovian Propagation in Optical Fiber
7. Nonlinear Generalized Schrödinger’s Equations by Lifting Hamilton-Jacobi’s Formulation of Classical Mechanics
8. From Schrödinger Equation to Quantum Conspiracy
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