45 citations · 78 across the 7 of their papers we have counts for
Showing 2003 · hep-thShow all
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hep-th2003
Towards Noncommutative Integrable Equations
Masashi Hamanaka, Kouichi Toda
We study the extension of integrable equations which possess the Lax representations to noncommutative spaces. We construct various noncommutative Lax equations by the Lax-pair gen…
hep-th2003★ 45 cited
Noncommutative Solitons and D-branes
Masashi Hamanaka
This thesis is designed for a comprehensive review of noncommutative (BPS) solitons with applications to D-brane dynamics including our works. We focus on noncommutative instantons…
hep-th2003
Noncommutative Burgers Equation
Masashi Hamanaka, Kouichi Toda
We present a noncommutative version of the Burgers equation which possesses the Lax representation and discuss the integrability in detail. We find a noncommutative version of the…