Reductions of PDEs to second order ODEs and symbolic computation

DOI10.1016/J.AMC.2016.06.043zbMath1410.34005OpenAlexW2502114413MaRDI QIDQ1733739

Xianqiang Yang

Publication date: 21 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2016.06.043

zbMATH Keywords

polynomial ordinary differential equationsexact solutions of partial differential equationssecond-order reductions

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear higher-order PDEs (35G20) Software, source code, etc. for problems pertaining to partial differential equations (35-04) Methods of ordinary differential equations applied to PDEs (35A24)

Related Items (3)

Analytic solutions of nonlinear partial differential equations by the power index method ⋮ Two new reductions methods for polynomial differential equations and applications to nonlinear pdes ⋮ A new method to obtain either first- or second-order reductions for parametric polynomial ODEs

Uses Software

• PDESpecialSolutions
• Exterior

Cites Work

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