New Exact Travelling Wave Solutions to Hirota Equation and (1+1)-Dimensional Dispersive Long Wave Equation

DOI10.1088/0253-6102/41/6/821zbMath1167.35523OpenAlexW2119439406MaRDI QIDQ5321329

Biao Li, Yong Chen, Qi Wang, Hong-Qing Zhang

Publication date: 22 July 2009

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/9dc0911f3f0dba30861ee81a136a9f49e93090ee

zbMATH Keywords

Hirota equationprojective Riccati equation method(1+1)-dimensional dispersive long wave equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Related Items

The first integral method for the time fractional Kaup-Boussinesq system with time dependent coefficient, Nonlinear physical complex Hirota dynamical system: construction of chirp free optical dromions and numerical wave solutions, Elliptic equation rational expansion method and new exact travelling solutions for Whitham-Broer-Kaup equations, A new Riccati equation rational expansion method and its application to \((2+1)\)-dimensional Burgers equation, A new elliptic equation rational expansion method and its application to the shallow long wave approximate equations, New exact solutions to mKdV-Burgers equation and \((2 + 1)\)-dimensional dispersive long wave equation via extended Riccati equation method, A new general algebraic method with symbolic computation to construct new travelling wave solution for the \((1+1)\)-dimensional dispersive long wave equation, Nonlinear stability of multi-solitons for the Hirota equation

Uses Software

• Maple