Solitons and Waves in (2+1)-Dimensional DispersiveLong-Wave Equation

Abstract

For a higher-dimensional integrable nonlinear dynamical system,there are abundant coherent soliton excitations. With the aid of an improvedprojective Riccati equation approach, the paper obtains several types ofexact solutions to the (2+1)-dimensional dispersive long-wave equation,including multiple-soliton solutions, periodic soliton solutions, andWeierstrass function solutions. From these solutions, apart from severalmultisoliton excitations, we derive some novel features of wave structures byintroducing some types of lower-dimensional patterns.