### Abstract

In the preceding paper, 1 we constructed submodels of nonlinear Grassmann sigma models in any dimensions and, moreover, an infinite number of conserved currents and a wide class of exact solutions. In this letter, we first construct almost all conserved currents for the submodels and all those for CP^{1}-model. We next review the Smirnov and Sobolev construction for the equations of CP^{1}-submodel and extend the equations, the S-S construction and conserved currents to higher order ones.

Original language | English |
---|---|

Pages (from-to) | 919-928 |

Number of pages | 10 |

Journal | Modern Physics Letters A |

Volume | 14 |

Issue number | 14 |

Publication status | Published - 1999 May 10 |

Externally published | Yes |

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Statistical and Nonlinear Physics

### Cite this

*Modern Physics Letters A*,

*14*(14), 919-928.

**Submodels of nonlinear grassmann sigma models in any dimension and conserved currents, exact solutions.** / Fujii, Kazuyuki; Homma, Yasushi; Suzuki, Tatsuo.

Research output: Contribution to journal › Article

*Modern Physics Letters A*, vol. 14, no. 14, pp. 919-928.

}

TY - JOUR

T1 - Submodels of nonlinear grassmann sigma models in any dimension and conserved currents, exact solutions

AU - Fujii, Kazuyuki

AU - Homma, Yasushi

AU - Suzuki, Tatsuo

PY - 1999/5/10

Y1 - 1999/5/10

N2 - In the preceding paper, 1 we constructed submodels of nonlinear Grassmann sigma models in any dimensions and, moreover, an infinite number of conserved currents and a wide class of exact solutions. In this letter, we first construct almost all conserved currents for the submodels and all those for CP1-model. We next review the Smirnov and Sobolev construction for the equations of CP1-submodel and extend the equations, the S-S construction and conserved currents to higher order ones.

AB - In the preceding paper, 1 we constructed submodels of nonlinear Grassmann sigma models in any dimensions and, moreover, an infinite number of conserved currents and a wide class of exact solutions. In this letter, we first construct almost all conserved currents for the submodels and all those for CP1-model. We next review the Smirnov and Sobolev construction for the equations of CP1-submodel and extend the equations, the S-S construction and conserved currents to higher order ones.

UR - http://www.scopus.com/inward/record.url?scp=0000586541&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000586541&partnerID=8YFLogxK

M3 - Article

VL - 14

SP - 919

EP - 928

JO - Modern Physics Letters A

JF - Modern Physics Letters A

SN - 0217-7323

IS - 14

ER -