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- Title
Asymptotic N-wave Solutions of the Nonplanar Burgers Equation.
- Authors
Rao, Ch. Srinivasa; Satyanarayana, Engu
- Abstract
In this paper, we construct asymptotic N-wave solutions for the nonplanar Burgers equation as via a balancing argument. These constructed asymptotics are compared with the approximate solutions of the nonplanar Burgers equation obtained by an approach due to Parker ( Acoust. Lett. 4 (1981)). We also present a computationally convenient form for the N-wave solution of the nonplanar Burgers equation modifying Sachdev et al.'s ( Stud. Appl. Math. 103 (1999)) approach. The asymptotic N-wave solutions obtained by balancing argument and modification to Sachdev et al.'s approach are validated by a careful numerical study.
- Subjects
BURGERS' equation; MATHEMATICAL research; ASYMPTOTIC theory in nonlinear differential equations; FLUID mechanics; ASYMPTOTIC expansions; EQUATIONS
- Publication
Studies in Applied Mathematics, 2008, Vol 121, Issue 2, p199
- ISSN
0022-2526
- Publication type
Article
- DOI
10.1111/j.1467-9590.2008.00411.x