Bifurcations of completely integrable 2-variable first-order partial differential equations

DOI10.1016/j.jmaa.2011.03.020zbMath1254.35020OpenAlexW2087272082MaRDI QIDQ542841

Liang Chen, Wei-Zhi Sun, Jing-Bo Xu

Publication date: 20 June 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.03.020

zbMATH Keywords

complete integralgeneric classificationLegendrian singularity

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Analyticity in context of PDEs (35A20) Symmetries, equivariance on manifolds (58K70) Bifurcations in context of PDEs (35B32)

Related Items (1)

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Cites Work

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• Singularities of solution surfaces for quasilinear first-order partial differential equations
• Reconstructions of fronts and caustics depending on a parameter and versality of mappings
• Bifurcations of completely integrable first-order ordinary differential equations
• Perestroikas of optical wave fronts and graphlike Legendrian unfoldings
• Bifurcations of ordinary differential equations of Clairaut type
• Holonomic systems of Clairaut type
• Bifurcations of holonomic systems of general Clairaut type
• Spacelike parallels and evolutes in Minkowski pseudo-spheres
• The theory of Legendrian unfoldings and first-order differential equations
• SINGULARITIES OF HYPERBOLIC GAUSS MAPS
• On simple families of functions and their Legendrian mappings
• Completely integrable holonomic systems of first-order differential equations

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