EVOLUTION OF MODULATIONAL INSTABILITY IN TRAVELLING WAVE SOLUTION OF NON-LINEAR PARTIAL DIFFERENTIAL EQUATION
DOI:
https://doi.org/10.29121/ijetmr.v5.i1.2018.42Keywords:
Jacobi Elliptic Functions, Ritz Variational Method, Spatially Periodic Trial FunctionAbstract
The Ritz variational method has been applied to the nonlinear partial differential equation to construct a model for travelling wave solution. The spatially periodic trial function was chosen in the form of combination of Jacobian Elliptic functions, with the dependence of its parameters
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E. Kit and L. Shemer (2002) J. Fluid Mech. 450, 201–205. DOI: https://doi.org/10.1017/S0022112001006498
D. Anderson (1983) Phys. Rev. A 27 (6), 3135–3145.
N. J. Zabusky and M. D. Kruskal (1965) Phys. Rev. Lett. 15(6), 240–243. DOI: https://doi.org/10.1103/PhysRevLett.15.240
H. Airault, H. P. McKean, and J. Moser,Comm. (1977) PureAppl. Math. 30(1), 95–148.
E.R.Tracy, H.H.Chen and Y.C. Lee (1984) Phys. Rev. Lett. 53, 218 – 221.
B. Hafizi (1981) Phys.Fluids 24(10), 1791–1798.
Q. S. Chang, B. L. Guo, and H. Jiang (1995) Math. Comp. 64(210), 537–553, S7–S11.
A. O. Smirnov (1989) Mat.Zametki 45(6), 66–73, 111 (Russian).
M. Sigal, Comm. (1993) Math. Phys. 153(2), 297–320.
P. L. Christiansen, J. C. Eilbeck, V. Z. Enolskii, and N. A. Kostov, (1995)Proc. Roy.Soc. London Ser. A 451(1943), 685–700.
A.V. Porubov and D. F. Parker, (1999) Wave Motion 29(2), 97–109. DOI: https://doi.org/10.1016/S0165-2125(98)00033-X
F. F. Sun, (2003), Master’s thesis, National University, Singapore.
V. E. Zakharov and A. B. Shabat, Ž.Ėksper. (1971)Teoret. Fiz 61(1), 118–134, (1972) Soviet Physics JETP 34(1), 62–69.
Arun Kumar, (2009), International Journal of Computational and Applied Mathematics ISSN 1819-4966, 4(2) 159–164.
LIANG Zu-Feng, TANG Xiao-Yan,(2010) CHIN. PHYS. LETT. Vol. 27(3)030201.
Hirota R (1973) J. Math Phys. 14 805. DOI: https://doi.org/10.1063/1.1666399
Jiao X Y and Lou S Y (2009) Chin. Phys. Lett. 26 040202.
Zhao S L, Zhang D J and Chen D Y (2009) Chin. Phys. Lett.26 030202.
Gao Y, Tang X Y and Lou S Y (2009) Chin. Phys. Lett. 26 030502
Yang J R and Mao J J (2008) Chin. Phys. Lett. 25 1527
Yan T, Yu J L and Huang N N (2008) Chin. Phys. Lett. 2552
Tang X Y, Lou S Y and Zhang Y (2002) Phys.Rev.E 66046601
Tang X Y and Lou S Y (2003)J. Math. Phys. 44 4000
Tang X Y and Lou S Y (2009) Front. Phys. Chin. 2 235
Tang X Y and Liang Z F (2006) Phys. Lett.A 351 398
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