Interaction of noncommutative plane waves in (2 plus 1) dimensions

2002/03/31 by Stig Bieling · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1088/0305-4470/35/30/306

published as J.Phys.A35:6281-6292,2002 · 12 pages, 4 figures, latex; V.2: two references added

arxiv created 2002/04/05 · openalex publication_date 2002/07/18 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

In this paper the interactions of extended waves in a noncommutative modified (2 + 1)-dimensional U (2) sigma model are studied. Using the dressing method, we construct an explicit two-wave solution of the noncommutative field equation. The scattering of these waves and large-time factorization are discussed.

Citations

• Noncommutative Generalized NS and Super Matrix KdV Systems from a Noncommutative Version of (Anti-) Self-Dual Yang-Mills Equations
• Connes' Gauge Theory on Noncommutative Space-Times
• Komaba Lectures on Noncommutative Solitons and D-Branes
• Exact Noncommutative KP and KdV Multi-solitons

Cited by

• Non-commutative Ward's conjecture and integrable systems
• Scattering of noncommutative waves and solitons in a supersymmetric chiral model in 2 + 1 dimensions
• Dispersionless limit of the noncommutative potential KP hierarchy and solutions of the pseudodual chiral model in 2 + 1 dimensions