Multi-soliton solutions of the two-dimensional matrix Davey-Stewartson equation

DOI10.1016/S0550-3213(97)00264-2zbMath0992.37066arXivhep-th/9612107MaRDI QIDQ1358752

A. N. Leznov, Emil A. Yuzbashyan

Publication date: 18 June 1997

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9612107

zbMATH Keywords

boundary conditionsmulti-soliton solutionslinear Schrödinger equationsHermitian potentialsmatrix Toda chain

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (4)

“Riemann equations” in bidifferential calculus ⋮ Discrete transformation for the matrix three-wave problem in three dimensional space ⋮ Fine Structure of the Discrete Transformation for Multicomponent Integrable Systems ⋮ Integrable mappings for noncommutative objects

Cites Work

• Unnamed Item
• The new look on the theory of integrable systems
• The general solution of two-dimensional matrix Toda chain equation with fixed ends
• Towards the construction of \(N=2\) supersymmetric integrable hierarchies
• Multidimensional solitons and their spectral transforms
• On three-dimensional packets of surface waves

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