Elliptic Waves in Two Component Long Wave--Short Wave Resonance   Interaction System in One and Two dimensions
  We consider (2+1) and (1+1) dimensional long-wave short-wave resonance interaction systems. We construct an extensive set of exact periodic solutions of these systems in terms of Lam\'e polynomials of order one and two. The periodic solutions are classified into three categories as similar, mixed, superposed elliptic solutions. We also discuss the hyperbolic solutions as limiting cases. 
Avinash Khare, T. Kanna and K. Tamilselvan
nlin.SI nlin.PS