References
- Antontsev , S.N. , Kazhikhov , A.V. and Monakhov , V.N. 1990 . Boundary Value Problems in Mechanics of Nonhomogeneous Fluids North‐Holland, Amsterdam
- Bhatnagar , P.L. 1979 . Nonlinear waves in one‐dimensional dispersive systems Oxford
- Kaliakin , L.A. 1989 . Long wavelength asymptotics. Integrability equations as asymptotic limit of nonlinear systems . Uspechi matematicheskich nauk , 44 (1) : 5 – 34 . (In Russian.)
- Koren , A. “ A robust upwind discretiztion method for advection, diffusion and source terms ” . In Report of Numerical Mathematics , Amsterdam : Centrum voor Wiskunde en Informatica . NM‐R9308 April 1993
- Krylovas , A. and Čiegis , R. 2000 . Proc. of the 3rd International Conference FDS2000 . Finite difference schemes: theory and applications . September 1–4 2000 , Palanga, Lithuania. Asymptotic analysis of weakly nonlinear systems , Edited by: Ciegis , R. , Samarskii , A. and Sapagovas , M. pp. 141 – 152 . Vilnius : IMI .
- Krylov , A. V. 1987 . The method of investigation of weakly nonlinear interaction of one dimensional waves . Prikladnaja Matematika i Mechanika , 51 (6) : 933 – 940 . (In Russian.)
- Krylov , A.V. 1989 . The substantiation of the method of the internal averaging along characteristics in weakly nonlinear systems, I, II . Lithuanian mathematical journal , 29 (4) : 721 – 732 . 88 – 100 . 30 (1), 1990
- LeVeque , R.J. 1990 . Numerical Methods for Conservation Laws Lectures in Mathematics , Basel, Boston, Berlin : Birhauser Verlag .
- Mitropolskii , Ju.A. and Choma , G.P. 1970 . About the principle of averaging along the characteristics for hyperbolic equations . Ukrainskii matematicheskii zurnal , 22 (5) : 600 – 610 . (In Russian.)
- Whitham , G. 1974 . Linear and Nonlinear Waves Wiley Interscience