The U(N) chiral model and exact multi-solitons

Abstract

We use a binary Darboux transformation to obtain exact multisoliton solutions of the principal chiral model and its noncommutative generalization. We also show that the exact multisolitons of the noncommutative principal chiral model in two dimensions and noncommutative (anti) self dual Yang Mills equations in four dimensions can be expressed explicitly in terms of quasi-determinants.

References in corpus (10)

• On a direct approach to quasideterminant solutions of a noncommutative modified KP equation
• A Symplectic Structure for String Theory on Integrable Backgrounds
• Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation
• Quasideterminant solutions of a non-Abelian Hirota-Miwa equation
• Noncommutative Ward's Conjecture and Integrable Systems
• Notes on Exact Multi-Soliton Solutions of Noncommutative Integrable Hierarchies
• Current Algebra and Integrability of Principal Chiral Model on the World-sheet with General Metric
• On non commutative sinh-Gordon Equation
• Lax pair and Darboux transformation of noncommutative U(N) principal chiral model
• Conserved Quantities in Noncommutative Principal Chiral Model with Wess-Zumino Term

Cited by in corpus (7)

• Quasideterminant solutions of an integrable chiral model in two dimensions
• Noncommutative Solitons and Quasideterminants
• Soliton Solutions of Noncommutative Anti-Self-Dual Yang-Mills Equations
• Quasi-Grammian Solutions of the Generalized Coupled Dispersionless Integrable System
• Bäcklund Transformations and the Atiyah-Ward ansatz for Noncommutative Anti-Self-Dual Yang-Mills Equations
• Soliton Scattering in Noncommutative Spaces
• Global Existence and Long Time Behavior in the 1+1 dimensional Principal Chiral Model with Applications to Solitons