Exact traveling wave solutions for discrete conservation laws (Q1780144)
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scientific article; zbMATH DE number 2173975
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exact traveling wave solutions for discrete conservation laws |
scientific article; zbMATH DE number 2173975 |
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Exact traveling wave solutions for discrete conservation laws (English)
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7 June 2005
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The authors consider the following linear partial difference equation \[ u_{n+1}^{(t+1)}=au_n^{(t)}+bu^{(t)}_{n-1},\;\;ab\not=0, \] and obtain its sine, cosine, hyperbolic sine and hyperbolic cosine travelling wave solutions.
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linear partial difference equation
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sine travelling wave solution
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cosine travelling wave solution
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hyperbolic sine travelling wave solution
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hyperbolic cosine travelling wave solutions
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0.9141677
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0.91401744
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0.9071467
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0.90623385
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0.9028812
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