The+Fermi+-+Pasta+-+Ulam+-+Tsingou+chain_Questions

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Questions and Remarks:

 * //Q//: It seems to me that the first question may be misleading: "the modes of strictly positive energy for the system" means the modes whose energy cannot be equal to or lower than zero regardless of the initial conditions, right?
 * //A//: The modes are the Fourier modes which are defined in the text. You have to determine their energies, and determine how many of them have a strictly positive energy.
 * //Q//: The equation admits wave solutions only with positive velocities, therefore for me the interaction of waves with "opposite velocities" is impossible, I'm missing something?
 * //A//: Don't forget the role of the initial state!