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Multiple Parameter Function Approaches to the Equations of Dynamic Convection in a Sea

Mathematical Physics 2008-12-11 v1 Analysis of PDEs math.MP Exactly Solvable and Integrable Systems Fluid Dynamics Geophysics

Abstract

One of the most important topics in geophysics is to study convection in a sea. Based on the algebraic characteristics of the equations of dynamic convection in a sea, we introduce various schemes with multiple parameter functions to solve these equations and obtain families of new explicit exact solutions with multiple parameter functions. Moreover, symmetry transformations are used to simplify our arguments.

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Cite

@article{arxiv.0812.1831,
  title  = {Multiple Parameter Function Approaches to the Equations of Dynamic Convection in a Sea},
  author = {Xiaoping Xu},
  journal= {arXiv preprint arXiv:0812.1831},
  year   = {2008}
}

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13page

R2 v1 2026-06-21T11:50:07.927Z