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Exact solutions of the forced Burgers equation

✍ Scribed by S. V. Petrovskii


Book ID
110121266
Publisher
Springer
Year
1999
Tongue
English
Weight
62 KB
Volume
44
Category
Article
ISSN
1063-7842

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Exact solutions for a forced Burgers equ
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We investigate the solutions of the Burgers equation , where F (x, t) is an external force and Ξ¦(x, t) represents a forcing term. This equation is first analyzed in the absence of the forcing term by taking F (x, t) = k 1 (t) -k 2 (t)x into account. For this case, the solution obtained extends the

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The extended homogeneous balance method is used to construct exact traveling wave solutions of the Boussinesq-Burgers equation, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation. Many exact traveling wave solutio