Solitons (Encyclopedia of Complexity and Systems Science Series)

Nonlinear Water Waves and Nonlinear Evolution Equations with Applications Inverse Scattering Transform and the Theory of Solitons Korteweg-de Vries Equation (KdV), Different Analytical Methods for Solving the Korteweg-de Vries Equation (KdV), History, Exact N-Soliton Solutions and Further Properties of the Semi-analytical Methods for Solving the KdV and mKdV Equations Korteweg-de Vries Equation (KdV), Some Numerical Methods for Solving the Nonlinear Internal Waves Partial Differential Equations that Lead to Solitons Shallow Water Waves and Solitary Waves Soliton Perturbation Solitons and Compactons Solitons: Historical and Physical Introduction Solitons Interactions Solitons, Introduction to Solitons, Tsunamis and Oceanographical Applications of Water Waves and the Korteweg-de Vries Equation Soliton Solutions for Some Nonlinear Water Wave Dynamical Models Analytical Soliton Solutions for Some Nonlinear Dynamical Water Waves Models Soliton Propagation in Solids: Advances and Applications Applications of lump and interaction soliton solutions to the model of liquid crystals and nerve fibers Periodic cross-kink, rogue-waves, and lump interaction soliton solutions with kink and periodic waves for fractional Bogoyavlenskii equation Double Tchebyshev spectral tau algorithm for solving KdV equation, with soliton application