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Validity and dynamics in the nonlinearly excited 6th-order phase equation
Initial boundary value problem for the singularly perturbed Boussinesq-type equation
| 1. | College of Science, Zhongyuan University of Technology, No.41, Zhongyuan Middle Road, Zhengzhou 450007, China, China, China |
References:
| [1] |
R. A. Admas, "Sobolev Space",, Academic Press, (1975). |
| [2] |
P. Darapi and W. Hua, A numerical method for solving an ill-posed Boussinesq equation arising in water waves and nonlinear lattices,, Appl. Math. Comput., 101 (1999), 159.
|
| [3] |
P. Darapi and W. Hua, Weakly non-local solitary wave solutions of a singularly perturbed Boussinesq equation,, Math. Comput. Sim., 55 (2001), 393. |
| [4] |
R. K. Dash and P. Darapi, Analytical and numerical studies of a singularly perturbed Boussinesq equation,, Appl. Math. Comput., 126 (2002), 1.
|
| [5] |
Z. S. Feng, Traveling solitary wave solutions to the generalized Boussinesq equation,, Wave Motion, 37 (2003), 17.
|
| [6] |
A. Friedman, "Partial Differential Equation of Parabolic Type",, Prentice Hall, (1964).
|
| [7] |
H. A. Levine and B. D. Sleeman, A note on the non-existence of global solutions of initial boundary value problems for the Boussinesq equation $u_{t t} = 3u_{x x x x} + u_{x x} - 12(u^2)_{x x}$,, J. Math. Anal. Appl., 107 (1985), 206.
|
| [8] |
Z.J. Yang, On local existence of solutions of initial boundary value problems for the "bad'' Boussinesq-type equation,, Nonlinear Anal. TMA, 51 (2002), 1259.
|
| [9] |
Y. L. Zhou and H. Y. Fu, Nonlinear hyperbolic systems of higher order generalized Sine-Gordon type,, Acta Math. Sinica, 26 (1983), 234.
|
show all references
References:
| [1] |
R. A. Admas, "Sobolev Space",, Academic Press, (1975). |
| [2] |
P. Darapi and W. Hua, A numerical method for solving an ill-posed Boussinesq equation arising in water waves and nonlinear lattices,, Appl. Math. Comput., 101 (1999), 159.
|
| [3] |
P. Darapi and W. Hua, Weakly non-local solitary wave solutions of a singularly perturbed Boussinesq equation,, Math. Comput. Sim., 55 (2001), 393. |
| [4] |
R. K. Dash and P. Darapi, Analytical and numerical studies of a singularly perturbed Boussinesq equation,, Appl. Math. Comput., 126 (2002), 1.
|
| [5] |
Z. S. Feng, Traveling solitary wave solutions to the generalized Boussinesq equation,, Wave Motion, 37 (2003), 17.
|
| [6] |
A. Friedman, "Partial Differential Equation of Parabolic Type",, Prentice Hall, (1964).
|
| [7] |
H. A. Levine and B. D. Sleeman, A note on the non-existence of global solutions of initial boundary value problems for the Boussinesq equation $u_{t t} = 3u_{x x x x} + u_{x x} - 12(u^2)_{x x}$,, J. Math. Anal. Appl., 107 (1985), 206.
|
| [8] |
Z.J. Yang, On local existence of solutions of initial boundary value problems for the "bad'' Boussinesq-type equation,, Nonlinear Anal. TMA, 51 (2002), 1259.
|
| [9] |
Y. L. Zhou and H. Y. Fu, Nonlinear hyperbolic systems of higher order generalized Sine-Gordon type,, Acta Math. Sinica, 26 (1983), 234.
|
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