Ottimista

Yes, I'm looking at "soliton-like solutions". I need to find a valid case as it was already found for the semilinear wave equation (see pages 26-27 in "http://arxiv.org/pdf/1410.7009v2.pdf "), where energy conservation is discriminating. If energy is conserved, the solution of the problem is correct, otherwise it's not.

Can you indicate some forums dedicated to research level mathematics? Thanks very much.

Thanks for your reply. Your suggestion is quite general & already known to me. To be more specific, would you be able to provide me with a definitive indication on how to resolve the "Nonlinear Schrodinger Equation" if I sent you " http://arxiv.org/pdf/1410.7009v2.pdf " where the methods are applied to the semilinear wave equation? Otherwise would you be also able to find an example for the Nonlinear Schrodinger Equation, where the energy conservation is discriminating, based on section 7 (Numerical tests, equation (101) with the initial conditions (102) ) in the link I'm mentioning above? Thanks very much.

Hi Guys, I have to find equation and starting condition to solve nonlinear Schrodinger Equation with periodic edge condition. This method should control the propagation of fiber optical signal. In details I need a case in which the energy conservation is discriminating. Can you help me?