Three dimensional vortices in the nonlinear wave equation
β Scribed by Badiale M., Benci V., Rolando S.
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<p>The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract existence theo
Many partial differential equations (PDEs) arising in physics, such as the nonlinear wave equation and the SchrΓΆdinger equation, can be viewed as infinite-dimensional Hamiltonian systems. In the last thirty years, several existence results of time quasi-periodic solutions have been proved adopting a