Journal article
Reciprocal transformation for one‐dimensional conservation equations
Journal of mathematical physics, v 24(4), pp 793-794
Apr 1983
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
One‐dimensional conservation equations (OCE) of the form ∂n/∂t+∂f/∂x=0 with n=n(x,t)>0 and f=f(n,∂n/∂x, ∂2
n/∂x
2,⋅⋅⋅) admit a symmetric r
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f
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x→x*(x,t), n→n*(x*,t)≡n
−
1, f→f*≡−n
−
1
f, which produces an equivalent OCE for n* in x* space. Certain OCE of contemporary interest are r
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t in the sense that f*=f(n*, ∂n*/∂x*, ∂2
n*/∂x*2,⋅⋅⋅). There also exists a class of essentially nonlinear OCE for which the reciprocal transformation produces a linear OCE, and thus equations in this class are solvable analytically.
Metrics
Details
- Title
- Reciprocal transformation for one‐dimensional conservation equations
- Creators
- Gerald Rosen - Drexel University
- Publication Details
- Journal of mathematical physics, v 24(4), pp 793-794
- Publisher
- American Institute of Physics (AIP)
- Number of pages
- 2
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Physics
- Web of Science ID
- WOS:A1983QM11300010
- Scopus ID
- 2-s2.0-51149218391
- Other Identifier
- 991019173768704721
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- Web of Science research areas
- Physics, Mathematical