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On the Darboux transformation for \(1+2\)-dimensional equations

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Publication:1824114
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DOI10.1007/BF00398166zbMath0682.35099MaRDI QIDQ1824114

Zi-Xiang Zhou

Publication date: 1988

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


zbMATH Keywords

compositionDarboux transformationspermutabilityauto-Bäcklund property


Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99)


Related Items

New factorization of the Kaup-Newell hierarchy ⋮ Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation ⋮ Line soliton solutions for a generalized Davey-Stewartson equation with variable coefficients ⋮ A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations ⋮ Travelling wave solutions of nonlinear evolution equations by using symbolic computation ⋮ Explicit construction of solutions of the modified Kadomtsev-Petviashvili equation



Cites Work

  • On the Darboux matrices of Bäcklund transformations for AKNS systems
  • Backlund transformations via gauge transformations in 2+1 dimensions
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