Abstract We analyze the Broer-Kaup system posed on half-line by using unified transform method, also known as Fokas method. derive formal representation of solution for in terms matrix Riemann-Hilbert problem formulated complex plane spectral parameter. The jump is uniquely defined functions that satisfy a certain relation, called global relation involving initial and boundary values. Furthermo...

The ( 2 + 1 )-dimensional Lax integrable equation is decomposed into solvable ordinary differential equations with the help of known id="M3"> soliton associated Ablowitz-Kaup-Newell-Segur hierarchy. Then, based on finite-order expansion matrix, a hyperelliptic Riemann surface and Abel-Jacobi coordinates...