Integrability

 Introduction

progressively updated in 2023

For some particular nonlinear differential equations it is possible to apply a geometrico-algebraic procedure that allows the determination of the exact solutions in terms of Jacobi elliptic functions. This is the case of the Nonlinear Schrodinger Equation (NSEq), sine-Gordon, sinh-Poisson, etc., and these equations have very important applications in physics. We discuss the general procedure and make reference to our published work related to a plasma problem described by NSEq.

The texts of this Section are a series of comments, evaluations, verifications, confrontation of possible approaches and selection of procedures. There is no intention to substitute textbooks or review articles and the periodic return to the orginal journal papers is highly recommended. In our meetings, repetitions and redundancies are not to be avoided.

The texts that we place here (the links below) are amorphous, prolix and incomplete. They are a simple list of problems and will be shaped through discussions. We hope that sometime they will be useful.

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 Integrability

Raw, elementary data on the integrability