[1]
|
R. Hirota, “The Direct Method in Soliton Theory,” Cambridge University Press, Cambridge, 2004.
doi:10.1017/CBO9780511543043
|
[2]
|
W. Herman and A. Nuseir, “Symbolic Methods to Construct Exact Solutions of Nonlinear Partial Differential Equations,” Mathematics and Computers in Simulation, Vol. 43, No. 1, 1997, pp. 13-27.
doi:10.1016/S0378-4754(96)00053-5
|
[3]
|
A. M. Wazwaz, “Soliton Solutions for Two (3 + 1)-Dimensional Non Integrable KdV-Type Equations,” Mathematical and Computer Modelling, Vol. 55, No. 5-6, 2012, pp. 1845-1848. doi:10.1016/j.mcm.2011.11.082
|
[4]
|
A. M. Wazwaz, “Two Forms of (3 + 1)-Dimensional B-Type Kadomtsev-Petviashvili Equation: Multiple Soliton Solutions,” Physica Scripta, Vol. 86, No. 3, 2012, pp. 035007-035015. doi:10.1088/0031-8949/86/03/035007
|
[5]
|
Q. C. Jiang, Y. L. Su and X. M. Ji, “Coupling Effects of Grey-Grey Separate Spatial Screening Soliton Pairs,” Physica Scripta, Vol. 86, No. 3, 2012, pp. 035404-035408. doi:10.1088/0031-8949/86/03/035404
|
[6]
|
T. Kaladze, S. Mahmood and H. Ur-Rehman, “Acoustic Nonlinear Periodic (Cnoidal) Waves and Solitons in Pair-Ion Plasmas,” Physica Scripta, Vol. 86, No. 3, 2012, pp. 035506-035514.
doi:10.1088/0031-8949/86/03/035506
|
[7]
|
Q.-Y. Chen, P. G. Kevrekidis and B. A. Malomed, “Dynamics of Bright Solitons and Soliton Arrays in the Nonlinear Schrodinger Equation with a Combination of Random and Harmonic Potentials,” Physica Scripta, Vol. 2012, No. T149, 2012, pp. 014001-014007.
doi:10.1088/0031-8949/2012/T149/014001
|
[8]
|
M. Born and L. Infeld, “1934 Foundations of the New Field Theory,” Proceedings of the Royal Society A, Vol. 144, No. 852, 1934, pp. 425-451.
|
[9]
|
M. Born, “On the Quantum Theory of Electromagnetic Field,” Proceedings of the Royal Society A, Vol. 143, No. 849, 1934, pp. 410-437.
|
[10]
|
D. I. Blokhintsev, “Space and Time in the Microcosm,” Nanka, Moscow, 1982.
|
[11]
|
M. KoiV and V. Rosenhaus, “Family of Two Dimensional Born-Infeld Equations and a System of Conservation Laws,” IZV. Akad. Nauk Est. SSR. Fizika, MathematiKa, Vol. 28, No. 3, 1979, pp. 187-193.
|
[12]
|
B. M. Barbashov and N. A. Chernikov, “Solving and Quantization of Nonlinear Two-Dimensional Model Born-Infeld Type,” Zhurn EKsperin I Teor Fiziki, Vol. 60 No. 5, 1966, pp. 1926-1308.
|
[13]
|
B. M. Barbashov and N. A. Chernikov, “Interaction of Two Plane Waves in Born-Infeld Electrodynamics,” Fizika Vysokikh Energii I Teoria Elementarnykh Chastitz, Kyiv, 1967, pp. 733-743.
|
[14]
|
W. I. Fushchych and V. A. Tychinin, “On Linearization of Some Nonlinear Equations with the Help of Non Local Transformations,” Institute of Mathematics, Academic of Sciences, Ukraine, 1982.
|
[15]
|
V. Fedorchuk, “Symmetry Reduction and Exact Solutions of the Euler-Lagrange-Born-Infeld, Multidimensional Monge-Ampere and Eikonal Equations,” Journal of Nonlinear Mathematical Physics, Vol. 2, No. 3-4, 1995, pp. 329-333.
|
[16]
|
R. K. Bullough, “The Wave Par Excellence: The Solitary Progressive Great Wave of Equilibrium of the Fluid and Early History of the Solitary Wave,” Springer, New York, 1988, pp. 150-281.
|
[17]
|
J. de Frutos and J. M. Sanz-Serna, “Accuracy and Conservation Properties in Numerical Integration. The Case of the Korteweg-de Vries Equation,” Numerische Mathematik, Vol. 75, No. 4, 1997, pp. 421-445.
doi:10.1007/s002110050247
|
[18]
|
J. S. Russel, “Report on Waves: Report of the 14th Meeting of the British Association for the Advancement of Science,” York, 1884, pp. 314-390.
|
[19]
|
W. E. Schiesser, “Method of Lines Solution of the Korteweg-de Vries Equation,” Computers & Mathematics with Applications, Vol. 28, No. 10-21, 1994, pp. 147-154.
|
[20]
|
E. Varley and B. R. Seymour “A Simple Derivation of the N-Soliton Solutions to the Korteweg—de Vries Equation,” SIAM: SIAM Journal on Applied Mathematics, Vol. 58, No. 3, 1998, pp. 904-911.
doi:10.1137/S0036139996303270
|
[21]
|
D. Vvedenskii, “Partial Differential Equations with Mathematica,” Wokingham Addison, Wesley, 1992.
|
[22]
|
S. Wolfram, “The Mathematica Book. Cambridge (UK),” Cambridge University Press, 1999.
|
[23]
|
A. M. Wazwaz, “A Modified KdV-Type Equation That Admits a Variety of Travelling Wave Solutions: Kinks, Solitons, Peakons and Cuspons,” Physica Scripta, Vol. 86, No. 4, 2012, pp. 045501-045506.
doi:10.1088/0031-8949/86/04/045501
|
[24]
|
C. T. Djeumen Tchaho, J. R. Bogning and T. C. Kofane, “TC 2010 Construction of the Analytical Solitary Wave Solutions of Modified Kuramoto-Sivashinsky Equation by the Method of Identification of Coefficients of the Hyperbolic Functions,” Far East Journal of Dynamical Systems, Vol. 14, No. 1, 2010, pp. 14-17.
|
[25]
|
C. T. Djeumen Tchaho, J. R. Bogning and T. C. Kofane, “Multi-Soliton Solutions of the Modified Kuramoto-Sivashinsky’s Equation by the BDK Method,” Far East Journal of Dynamical Systems, Vol. 15, No. 2, 2011, pp. 83-98.
|
[26]
|
J. R. Bogning, C. T. Djeumen Tchaho and T. C. Kofané, “Construction of the Soliton Solutions of the Ginzburg-Landau Equations by the New Bogning-Djeumen Tchaho-Kofané method,” Physica Scripta, Vol. 85, No. 2, 2012, pp. 025013-025017.
doi:10.1088/0031-8949/85/02/025013
|
[27]
|
C. T. Djeumen Tchaho , J. R. Bogning, and T. C. Kofané, “Modulated Soliton Solution of the Modified Kuramoto-Sivashinsky’s Equation,” American Journal of Computational and Applied Mathematics, Vol. 2, No. 5, 2012, pp. 218-224. doi:10.5923/j.ajcam.20120205.03
|
[28]
|
J. R. Bogning, C. T. Djeumen Tchaho and T. C. Kofané, “TC 2012 Generalization of the Bogning-Djeumen Tchaho-Kofane Method for the Construction of the Solitary Waves and the Survey of the Instabilities,” Far East Journal of Dynamical Systems, Vol. 20, No. 2, 2012, pp. 101-119.
|