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A class of PDEs with nonlinear superposition principles

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Publication:442884
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DOI10.1155/2012/346824zbMath1246.35021OpenAlexW2063455080WikidataQ58906707 ScholiaQ58906707MaRDI QIDQ442884

Zhong Weizhou, Liu Keying, Pan Zuliang, Li Peng

Publication date: 6 August 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/346824


zbMATH Keywords

3rd-order PDE


Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Symmetries, invariants, etc. in context of PDEs (35B06)




Cites Work

  • Unnamed Item
  • Nonlinear superposition principles obtained by Lie symmetry methods
  • Nonlinear superposition
  • Noncommutative superpositions for nonlinear operators
  • Superposition in linear and nonlinear ordinary differential equations
  • Principles of nonlinear superposition
  • An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
  • Universal C-integrable nonlinear partial differential equation in N+1 dimensions
  • The Connection between Partial Differential Equations Soluble by Inverse Scattering and Ordinary Differential Equations of Painlevé Type
  • The partial differential equation ut + uux = μxx
  • On a quasi-linear parabolic equation occurring in aerodynamics
  • Symmetries and differential equations
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