The derivative nonlinear Schrodinger equation on the interval

Jian Xu, Engui Fan

We use the Fokas method to analyze the derivative nonlinear Schrödinger (DNLS) equation $i{q}_t(x,t)=-q_{xx}(x,t)+(r{q}^2{)}_x$ on the interval $[0,L]$. Assuming that the solution $q(x,…