Generalized Riccati equation expansion method and its application to the (3 + 1)-dimensional Jumbo-Miwa equation

DOI10.1016/S0096-3003(03)00578-2zbMath1049.65106OpenAlexW2073145179MaRDI QIDQ1826809

Biao Li, Yong Chen, Heng-Nong Xuan, Hong-Qing Zhang

Publication date: 6 August 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00578-2

zbMATH Keywords

comparison of methodsnonlinear evolution equationsSymbolic computationtanh methodsmapleSoliton-like solutions(3 + 1)-dimensional Jumbo--Miwa equationGeneralized Riccati equation expansion methodhyperbolic-function methodnon-travelling wavesperiodic form solutions

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Nonlinear parabolic equations (35K55) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (5)

New exact traveling wave solutions of some nonlinear higher-dimensional physical models ⋮ New traveling wave solutions by the extended generalized Riccati equation mapping method of the \((2 + 1)\)-dimensional evolution equation ⋮ Non-travelling wave solutions to a \((3+1)\)-dimensional potential-YTSF equation and a simplified model for reacting mixtures ⋮ Macropterons, micropterons and similarity reductions for the regularized Ostrovsky-Grimshaw model for fluids and plasmas with symbolic computation ⋮ A note on modified generalized Riccati equation method combined with new algebra expansion

Uses Software

• Maple

Cites Work

• Unnamed Item
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