### Abstract

In this short note, we give a unified rigorous derivation of vortex motion laws of nonlinear wave (NLW) and nonlinear heat (NLH) equations based on the fluid dynamic approach the authors recently developed in solving the nonlinear Schrödinger (NLS) equation. Hence in all three complex scalar field equations, the motion laws follow from the Euler-type equations, and the knowledge of the finite mass Radon defect measure.

Original language | English (US) |
---|---|

Pages (from-to) | 455-460 |

Number of pages | 6 |

Journal | Mathematical Research Letters |

Volume | 5 |

Issue number | 4 |

State | Published - 1998 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Mathematical Research Letters*,

*5*(4), 455-460.

**A unified approach to vortex motion laws of complex scalar field equations.** / Lin, Fang-Hua; Xin, J. X.

Research output: Contribution to journal › Article

*Mathematical Research Letters*, vol. 5, no. 4, pp. 455-460.

}

TY - JOUR

T1 - A unified approach to vortex motion laws of complex scalar field equations

AU - Lin, Fang-Hua

AU - Xin, J. X.

PY - 1998

Y1 - 1998

N2 - In this short note, we give a unified rigorous derivation of vortex motion laws of nonlinear wave (NLW) and nonlinear heat (NLH) equations based on the fluid dynamic approach the authors recently developed in solving the nonlinear Schrödinger (NLS) equation. Hence in all three complex scalar field equations, the motion laws follow from the Euler-type equations, and the knowledge of the finite mass Radon defect measure.

AB - In this short note, we give a unified rigorous derivation of vortex motion laws of nonlinear wave (NLW) and nonlinear heat (NLH) equations based on the fluid dynamic approach the authors recently developed in solving the nonlinear Schrödinger (NLS) equation. Hence in all three complex scalar field equations, the motion laws follow from the Euler-type equations, and the knowledge of the finite mass Radon defect measure.

UR - http://www.scopus.com/inward/record.url?scp=0032219334&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032219334&partnerID=8YFLogxK

M3 - Article

VL - 5

SP - 455

EP - 460

JO - Mathematical Research Letters

JF - Mathematical Research Letters

SN - 1073-2780

IS - 4

ER -