Linearizability of the perturbed Burgers equation
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چکیده
منابع مشابه
Linearizability of the Perturbed Burgers Equation
We show in this letter that the perturbed Burgers equation ut = 2uux + uxx + ǫ ( 3α1u 2 ux + 3α2uuxx + 3α3u 2 x + α4uxxx ) is equivalent, through a near-identity transformation and up to O(ǫ), to a linearizable equation if the condition 3α1 − 3α3 − 3 2 α2 + 3 2 α4 = 0 is satisfied. In the case this condition is not fulfilled, a normal form for the equation under consideration is given. Then, to...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1998
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.58.2526