DARBOUX TRANSFORMATION AND MULTI-SOLITON SOLUTIONS OF A NONCOMMUTATIVE SINE–GORDON SYSTEM
From MaRDI portal
Publication:3526967
DOI10.1142/S0217732308023864zbMath1146.81326MaRDI QIDQ3526967
M. Siddiq, U. Saleem, Mahmood Ul Hassan
Publication date: 25 September 2008
Published in: Modern Physics Letters A (Search for Journal in Brave)
NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Noncommutative geometry methods in quantum field theory (81T75) Groups and algebras in quantum theory and relations with integrable systems (81R12)
Related Items (4)
Soliton scattering in noncommutative spaces ⋮ Noncommutative coupled complex modified Korteweg–de Vries equation: Darboux and binary Darboux transformations ⋮ A noncommutative coupled dispersionless system, Darboux transformation and explicit solutions ⋮ Soliton solutions of noncommutative anti-self-dual Yang–Mills equations
Cites Work
- Two-dimensional exactly and completely integrable dynamical systems
- Integrable noncommutative sine-Gordon model
- Quasideterminants. I
- A theory of noncommutative determinants and characteristic functions of graphs
- Factorization of differential operators, quasideterminants, and nonabelian Toda field equations
- Towards noncommutative integrable systems
- Quasideterminants
- Determinants of matrices over noncommutative rings
- An integrable noncommutative version of the sine-Gordon system
- Noncommutative NLS equation.
- Minor identities for quasi-determinants and quantum determinants
- Commuting flows and conservation laws for noncommutative Lax hierarchies
- Noncommutative Burgers equation
- Interaction of noncommutative plane waves in (2 $plus$ 1) dimensions
- Continual Lie algebras and noncommutative counterparts of exactly solvable models
- Extension of noncommutative soliton hierarchies
- NONCOMMUTATIVE EXTENDED WAVES AND SOLITON-LIKE CONFIGURATIONS IN N = 2 STRING THEORY
- BICOMPLEXES, INTEGRABLE MODELS, AND NONCOMMUTATIVE GEOMETRY
- On Darboux transformation of the supersymmetric sine-Gordon equation
- Lax pair and Darboux transformation of a noncommutativeU(N) principal chiral model
- Conserved quantities in the noncommutative principal chiral model with Wess–Zumino term
- Noncommutative field theory
- Quantum field theory on noncommutative spaces
- Space-time noncommutative field theories and unitarity
- Ultraviolet properties of noncommutative nonlinear \(\sigma\)-models in two dimensions
- Scattering of noncommutative solitons in \(2+1\) dimensions
This page was built for publication: DARBOUX TRANSFORMATION AND MULTI-SOLITON SOLUTIONS OF A NONCOMMUTATIVE SINE–GORDON SYSTEM