- Study guides, Class notes & Summaries

This advanced module explores the rich theory and methods of finding exact analytical solutions of the nonlinear Schrödinger equation (NLSE) and its variants. Students will study the classification of solitons, breathers, rogue waves and other coherent structures; symmetry reductions; integrability techniques; and the role of conservation laws and transformations in mapping between solution classes. Using the “Handbook of Exact Solutions to the Nonlinear Schrödinger Equations” as the centr...

This advanced module explores the rich theory and methods of finding exact analytical solutions of the nonlinear Schrödinger equation (NLSE) and its variants. Students will study the classification of solitons, breathers, rogue waves and other coherent structures; symmetry reductions; integrability techniques; and the role of conservation laws and transformations in mapping between solution classes. Using the “Handbook of Exact Solutions to the Nonlinear Schrödinger Equations” as the centr...