Lax pairs galore

DOI10.1063/1.529096zbMath0737.35094OpenAlexW2045052806MaRDI QIDQ3977821

Maria Clara Nucci, Francesco Calogero

Publication date: 25 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529096

zbMATH Keywords

conservation lawLax pair

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (16)

Complete integrability, gauge equivalence and Lax representation of inhomogeneous nonlinear evolution equations ⋮ Lax pairs for the discrete reduced Nahm systems ⋮ Lax representations and zero-curvature representations by the Kronecker product ⋮ Integrability via geometry: dispersionless differential equations in three and four dimensions ⋮ Lax representations and Bäcklund transformations for one-dimensional nonlinear evolution equations ⋮ Computation of generating symmetries ⋮ Darboux integrability of trapezoidalH⁴andH⁴families of lattice equations I: first integrals ⋮ Reconstructing a lattice equation: a non-autonomous approach to the Hietarinta equation ⋮ Darboux integrability of trapezoidal \(H^{4}\) and \(H^{6}\) families of lattice equations. II: General solutions ⋮ Linearizability and a fake Lax pair for a nonlinear nonautonomous quad-graph equation consistent around the cube ⋮ Painlevé test for some \((2+1)\)-dimensional nonlinear equations ⋮ The neatest many-body problem amenable to exact treatments (a ``goldfish?) ⋮ Antiplectic structure, diffeomorphism and generalized KdV family ⋮ Remarks on certain two-component systems with peakon solutions ⋮ True and Fake Lax Pairs: How to Distinguish Them ⋮ Algebraic entropy for face-centered quad equations

Cites Work

• Monodromy- and spectrum-preserving deformations. I
• Integrals of nonlinear equations of evolution and solitary waves

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