Solving bi-directional soliton equations in the KP hierarchy by gauge transformation

DOI10.1088/1126-6708/2006/03/103zbMath1226.35069arXivmath-ph/0503028OpenAlexW2170016348MaRDI QIDQ650801

Rudolf A. Römer, Jing-Song He, Yi. Cheng

Publication date: 28 November 2011

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0503028

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Groups and algebras in quantum theory and relations with integrable systems (81R12) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (9)

Bilinear equations in Darboux transformations by boson-fermion correspondence ⋮ Gauge transformations of constrained discrete modified KP systems with self-consistent sources ⋮ The ``ghost symmetry in the CKP hierarchy ⋮ Gauge transformations for the constrained CKP and BKP hierarchies ⋮ The applications of the gauge transformation for the BKP hierarchy ⋮ The determinant representation of the gauge transformation for the discrete KP hierarchy ⋮ CKP hierarchy and free bosons ⋮ The gauge transformation of the q-deformed modified KP hierarchy ⋮ The gauge transformation of the modified KP hierarchy

Cites Work

• The mod-5 splitting of the compact exceptional Lie group E(8)
• Solving the KP hierarchy by gauge transformations
• The spectral properties of a certain class of self-adjoint operator functions
• Constrained KP hierarchy and bi-Hamiltonian structures
• Modifying the KP, the \(n^{th}\) constrained KP hierarchies and their Hamiltonian structures
• A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
• Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method
• GrammianN-soliton solutions of a coupled KdV system
• On bidirectional fifth-order nonlinear evolution equations, Lax pairs, and directionally dependent solitary waves
• Constraints of the Kadomtsev–Petviashvili hierarchy
• Solving the constrained KP hierarchy by gauge transformations
• Soliton solutions of two bidirectional sixth-order partial differential equations belonging to the KP hierarchy
• On the Born-Infeld electron: Spin effects
• On reduced CKP equations
• A bidirectional Kaup–Kupershmidt equation and directionally dependent solitons
• Two choices of the gauge transformation for the AKNS hierarchy through the constrained KP hierarchy

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