Abstract
By means of a new Riccati equation expansion method, we consider the (2 + 1)-dimensional dispersive long-wave equations u yt+η xx+ 1 2 (u 2) xy=0 , η t +( uη+ u+ u xy ) x =0. As a result, we not only can successfully recover the previously known formal solutions obtained by known tanh function methods but also construct new and more general formal solutions. The solutions obtained include the nontravelling wave and coefficient functions’ soliton-like solutions, singular soliton-like solutions, triangular functions solutions.
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