Universal C-integrable nonlinear partial differential equation in N+1 dimensions

DOI10.1063/1.530070zbMath0777.35075OpenAlexW2085296100WikidataQ115331131 ScholiaQ115331131MaRDI QIDQ3136683

Francesco Calogero

Publication date: 21 October 1993

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

Full work available at URL: https://doi.org/10.1063/1.530070

zbMATH Keywords

nonlinear Schrödinger equationEckhaus equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

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Cites Work

• Nonlinear evolution equations, rescalings, model PDES and their integrability: I
• The Eckhaus equation i$\psi$t + $\psi$xx + 2(|$\psi$|2)x$\psi$ + |$\psi$|4$\psi$ = 0
• The evolution partial differential equation u t=u x x x+3(u x x u2 +3u2x u)+3u x u4
• C-Integrable nonlinear partial differential equations in N+1 dimensions
• The Eckhaus equation in an external potential