Volume 8, Issue 4, November 2001, Pages 458 - 470
Asymptotic Approximation of Hyperbolic Weakly Nonlinear Systems
A KRYLOVAS, R CIEGIS
Received 11 April 2001, Revised 7 July 2001, Accepted 20 July 2001, Available Online 1 November 2001.
- https://doi.org/10.2991/jnmp.2001.8.4.2How to use a DOI?
- An averaging method for getting uniformly valid asymptotic approximations of the solution of hyperbolic systems of equations is presented. The averaged system of equtions disintegrates into independent equations for non-resonance systems. We consider the resonance conditions for some classes of solutions. The averaged system can be solved numerically in the resonance case. The shallow water problem is considered as an example of the resonance system. Results of numerical experiments are presented.
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TY - JOUR AU - A KRYLOVAS AU - R CIEGIS PY - 2001 DA - 2001/11 TI - Asymptotic Approximation of Hyperbolic Weakly Nonlinear Systems JO - Journal of Nonlinear Mathematical Physics SP - 458 EP - 470 VL - 8 IS - 4 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2001.8.4.2 DO - https://doi.org/10.2991/jnmp.2001.8.4.2 ID - KRYLOVAS2001 ER -