A Scaled Characteristics Method for the Asymptotic Solution of Weakly Nonlinear Wave Equations
| dc.contributor.author | Easwaran, Chirakkal V. | |
| dc.date.accessioned | 2019-03-19T15:20:02Z | |
| dc.date.available | 2019-03-19T15:20:02Z | |
| dc.date.issued | 1998-01-31 | |
| dc.description.abstract | We formulate a multi-scale perturbation technique to asymptotically solve weakly nonlinear hyperbolic equations. The method is based on a set of scaled characteristic coordinates. We show that this technique leads to a simplified system of ordinary differential equations describing the weakly nonlinear interaction between left and right running waves. Using this method, a uniformly valid first order solution of a prototype nonlinear equation is derived. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Easwaran, C. V. (1998). A scaled characteristics method for the asymptotic solution of weakly nonlinear wave equations. <i>Electronic Journal of Differential Equations, 1998</i>(03), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/7928 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 1998, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Multiple scale | |
| dc.subject | Perturbation | |
| dc.subject | Nonlinear | |
| dc.subject | Waves | |
| dc.title | A Scaled Characteristics Method for the Asymptotic Solution of Weakly Nonlinear Wave Equations | |
| dc.type | Article |