Differential invariants and group foliation for the complex Monge-Ampère equation
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Publication:2716819
DOI10.1088/0305-4470/34/1/311zbMath0969.35058OpenAlexW2047961136WikidataQ115293416 ScholiaQ115293416MaRDI QIDQ2716819
Mikhail B. Sheftel, Yavuz Nutku
Publication date: 16 May 2001
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/34/1/311
non-invariant solutionscommutator representationresolvent systeminfinite symmetry subgroupintricate system
Nonlinear elliptic equations (35J60) Partial differential equations on manifolds; differential operators (58J99) Complex Monge-Ampère operators (32W20)
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Exact solutions of semilinear radial wave equations in \(n\) dimensions ⋮ GROUP FOLIATION OF DIFFERENTIAL EQUATIONS USING MOVING FRAMES ⋮ Functionally separable solutions to nonlinear wave equations by group foliation method ⋮ Lift of Invariant to Non-Invariant Solutions of Complex Monge-Ampère Equations ⋮ Group foliation of finite difference equations ⋮ Applications of the differential invariants of infinite dimensional groups in hydrodynamics. ⋮ Reduction of exterior differential systems with infinite dimensional symmetry groups ⋮ Summary of session A4: complex and conformal methods in classical and quantum gravity ⋮ Symmetry analysis and exact solutions of semilinear heat flow in multi-dimensions ⋮ Invariants of third-order ordinary differential equationsy′′′=f(x,y,y′,y′′) via point transformations ⋮ Exact solutions of semilinear radial Schrödinger equations by separation of group foliation variables
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