New Soliton Solutions in Noncommutative Torus

WEN Jun-Qing; ZHU Qiao; SHI Kang-Ji

Chinese Physics C> 2006, Vol. 30> Issue(2) : 89-93

New Soliton Solutions in Noncommutative Torus

School of Science, Xi'an Shiyou University, Xi'an 710065, China2 Institute of Modern Physics, Northwest University, Xi'an 710069, China

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Abstract：
Besed on finite dimensional reduced matrices of operators on integral noncommutative torus, soliton solution problem can be converted into the finite matrix solution problem satisfying the algebraic equation Q(M)=0. In this paper, we mainly study the condition of reduced matrix for the operator which cannot be diagonalized. When the potential function V(\phi)=0 has an extremum point in three or more rank, there exist matrix solution that cannot be diagonalized for the finite dimensional matrix equation V′(M)=0$. We study the general form of the solution and construct new soliton solution on noncommutative integral ring. In terms of the construction method, we obtain soliton solutions on noncommutative orbifold.

References

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WEN Jun-Qing, ZHU Qiao and SHI Kang-Ji. New Soliton Solutions in Noncommutative Torus[J]. Chinese Physics C, 2006, 30(2): 89-93.

WEN Jun-Qing, ZHU Qiao and SHI Kang-Ji. New Soliton Solutions in Noncommutative Torus[J]. Chinese Physics C, 2006, 30(2): 89-93. shu

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Received: 2005-04-30
Revised: 2005-10-27

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沈阳化工大学材料科学与工程学院沈阳 110142

New Soliton Solutions in Noncommutative Torus

Corresponding author: WEN Jun-Qing,

School of Science, Xi'an Shiyou University, Xi'an 710065, China2 Institute of Modern Physics, Northwest University, Xi'an 710069, China

Received Date: 2005-04-30
Accepted Date: 2005-10-27
Available Online: 2006-02-05

Abstract: Besed on finite dimensional reduced matrices of operators on integral noncommutative torus, soliton solution problem can be converted into the finite matrix solution problem satisfying the algebraic equation Q(M)=0. In this paper, we mainly study the condition of reduced matrix for the operator which cannot be diagonalized. When the potential function V(\phi)=0 has an extremum point in three or more rank, there exist matrix solution that cannot be diagonalized for the finite dimensional matrix equation V′(M)=0$. We study the general form of the solution and construct new soliton solution on noncommutative integral ring. In terms of the construction method, we obtain soliton solutions on noncommutative orbifold.