Nonlinear Processes in Geophysics
Nonlinear Processes in Geophysics
NPG
Articles | Volume 24, issue 4
Articles | Volume 24, issue 4
https://doi.org/10.5194/npg-24-727-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/npg-24-727-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 24, issue 4
Research article
 | 
05 Dec 2017
Research article |  | 05 Dec 2017

Analytic solutions for Long's equation and its generalization

Mayer Humi

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Latest update: 18 Oct 2025
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Short summary
Deriving a generalization of Long's equation to non-isothermal flow shows that Long's equation has (approximate) soliton-like solutions, provides a transformation that linearizes Long's equation (and analytic solutions), and provides analytic solutions for a base flow with shear.
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