Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China;Department of Physics, Ningbo University, Ningbo 315211, China
Abstract:
New exact quasi-periodic and non-periodic solutions for the (2 1)-dimensional nonlinear systems are studied by means of the multi-linear variable separation approach (MLVSA) and the Jacobi elliptic functions with the space-time-dependent modulus. Though the result is valid for all the MLVSA solvable models, it is explicitly shown for the long-wave and short-wave interaction model.