Symmetries, Differential Equations and Applications

Chapter 1 Normal Forms for Submanifolds Under Group Actions

Chapter 2 Integrable Nonlocal Reductions

Chapter 3 Construction of Solvable Structures from $$\mathfrak {so}(3,\mathbb {C})$$ so ( 3 , C )

Chapter 4 Classification of Scalar Fourth Order Ordinary Differential Equations Linearizable via Generalized Lie–Bäcklund Transformations

Chapter 5 On the Symmetries of a Liénard Type Nonlinear Oscillator Equation

Chapter 7 A Note on the Multiplier Approach for Derivation of Conservation Laws for Partial Differential Equations in the Complex Domain

Chapter 8 The Calculation and Use of Generalized Symmetries for Second-Order Ordinary Differential Equations

Chapter 9 Differential Invariants for Two and Three Dimensional Linear Parabolic Equations

Chapter 10 Kaleidoscope of Classical Vortex Images and Quantum Coherent States