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Compatibility criteria and general solution of the nonlinear d'Alembert-eikonal system

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Publication:1372499
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DOI10.1016/0034-4877(96)83641-XzbMath0884.35136OpenAlexW2033098250MaRDI QIDQ1372499

Renat Zhdanov

Publication date: 2 April 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(96)83641-x


zbMATH Keywords

integrabilitygeneral solutionnecessary and sufficient compatibility conditionsnonlinear d'Alembert equationnonlinear eikonal equation


Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)





Cites Work

  • On the reduction of the nonlinear multi-dimensional wave equations and compatibility of the d'Alembert-Hamilton system
  • Symmetry reduction for nonlinear relativistically invariant equations
  • Complex potential equations I. A technique for solution
  • On the general solution of the d’Alembert equation with a nonlinear eikonal constraint and its applications




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