GENERALIZED RICCATI EQUATION EXPANSION METHOD AND ITS APPLICATION TO THE (2+1)-DIMENSIONAL BOUSSINESQ EQUATION

DOI10.1142/S0129183103004668zbMath1088.35528OpenAlexW2007792591MaRDI QIDQ3368596

Biao Li, Yong Chen, Hong-Qing Zhang

Publication date: 31 January 2006

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129183103004668

zbMATH Keywords

Riccati equationsoliton-like solutions\((2+1)\)-dimensional Boussinesq equationcomputerized symbolic system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Soliton equations (35Q51) Waves for incompressible viscous fluids (76D33) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Related Items

CONSTRUCTING FAMILIES TRAVELING WAVE SOLUTIONS IN TERMS OF SPECIAL FUNCTION FOR THE ASYMMETRIC NIZHNIK–NOVIKOV–VESSELOV EQUATION

Uses Software

• Maple

Cites Work

• An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
• Traveling wave solutions for nonlinear equations using symbolic computation
• The tanh method, a simple transformation and exact analytical solutions for nonlinear reaction-diffusion equations
• On the transverse instabilities of solitary waves.
• Travelling solitary wave solutions to a seventh-order generalized KdV equation
• Travelling solitary wave solutions to a compound KdV-Burgers equation.
• Extended tanh-function method and its applications to nonlinear equations
• Symbolic computation and new families of exact soliton-like solutions to the integrable Broer-Kaup (BK) equations in (2+1)-dimensional spaces
• New families of exact solutions to the integrable dispersive long wave equations in 2+1-dimensional spaces
• Exact solutions of a nonlinear dispersive - dissipative equation
• Exact solutions to the two-dimensional Korteweg-de Vries-Burgers equation
• Modified extended tanh-function method for solving nonlinear partial differential equations
• Generalized hyperbolic-function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics
• A new complex line soliton for the two-dimensional KdV-Burgers equation
• New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations