Handbook of Solitons de S.P. Lang

Handbook of Solitons

S.P. Lang

Salim H. Bedore

In mathematics and physics, a soliton is a self-reinforcing solitary wave (a wave packet or pulse) that maintains its shape while it travels at constant speed. Solitons are caused by a cancellation of non-linear and dispersive effects in the medium. "Dispersive effects" refer to dispersion relations between the frequency and the speed of the waves. Solitons arise as the solutions of a widespread class of weakly non-linear dispersive partial differential equations describing physical systems. This book presents the latest research in the field.

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Cuprins

Preface; Electrostatic Solitons and Sagdeev Pseudopotentials in Space Plasmas: Review of Recent Advances; Torching Ball Lightning as an Optical Incoherent Space Spherical Soliton; Asymptotic Analysis of Dispersion-Managed Vector Solitons; Soliton Fiber Lasers; Theory of Soliton Lasers: Dynamics, Stability and Mode-Locking; The Riccati Equation in the Study of Solitons; Constructing Exact Solutions to Soliton Equation by Computer Algebraic; The Behaviours and Properties of Microscopic Particles in Nonlinear Systems; Mathematical Physics Properties of Waves on Finite Background; Soliton and Periodic Solutions of the Short Pulse Model Equation; The Soliton Theory of Bio-energy Transport in Protein Molecules; Control of Chaotic and Exploding dissipative Kink-Solitons; Soliton Structures in Barothropic Relaxing Media; Solitons in Systems with a Cylindrical Symmetry; Chiral Quark Soliton Model and Nucleon Spin Structure Functions; Higher-order Solitons and Modulation Instability in Optical Fibers; Diffusion in Twisted Magnetic Flux Tubes and Diffusionless Solitonic Surfaces; Gap Solitons in Bragg Supergratings; Effects of Perturbations on the Propagation of Optical Solitons; A Numerical Study on the Generation Period of Internal Solitons in the Northern South China Sea; A New Integrable System from the Kadomtsev-Petviashvili Equation; Methods of Mechanical Analogy in Gas-Dynamic Theories of Nonlinear Waves in Plasma; Dispersive Behavior of Highly Nonlinear Optical Solitary Waves; Index.