THERMAL SCIENCE

International Scientific Journal

External Links

KINK DEGENERACY AND ROGUE WAVE FOR POTENTIAL KADOMTSEV-PETVIASHVILI EQUATION

ABSTRACT
A new method called homoclinic breather limit method is proposed to solve the Potential Kadomtsev-Petviashvili equation, breather kink-wave and periodic soliton are obtained, and kink degeneracy and new rogue wave are first found in this paper.
KEYWORDS
PAPER SUBMITTED: 2015-01-16
PAPER REVISED: 2015-03-01
PAPER ACCEPTED: 2015-05-12
PUBLISHED ONLINE: 2015-10-25
DOI REFERENCE: https://doi.org/10.2298/TSCI1504429L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Issue 4, PAGES [1429 - 1435]
REFERENCES
  1. Debtnath, L., Non-Linear Partial Differential Equations for Scientist and Engineers, Birkhauser, Boston, USA, 1997
  2. Hong T., et al., Bogoliubov Quasiparticles Carried by Dark Solitonic Excitations in Nonuniform Bose- Einstein Condensates, Chinese Phys. Lett., 15 (1998), 3, pp. 550-552
  3. Dai, Z. D., et al., Periodic Bifurcation and Soliton Deflexion for Kadomtsev-Petviashvili Equation, Chin. Phys. Lett., 24 (2007), 6, pp. 1429-1432
  4. Tajiri, M., et al., Periodic Soliton Solutions as Imbricate Series of Rational Solitons: Solutions to the Kadomtsev-Petviashvili Equation with Positive Dispersion, Non-linear Math. Phys., 15 (1997), 4, pp. 350-357
  5. Dai, Z. D., et al., Homoclinic Bifurcation for Boussinesq Equation with Even Constraint, Chin. Phy. Lett., 23 (2006), 5, pp. 1065-1067
  6. Dai, Z. D., et al., Homoclinic Breather-Wave Solutions for Sine-Gordon Equation, Comm. Non-Linear S-ci. Num. Simul., 14 (2009), 3, pp. 3292-3295
  7. Li, D. S. et al., New Soliton-like Solutions to the Potential Kadomstev-Petviashvili (PKP) Equation, Appl. Math. Comput., 46 (2003), 2, pp. 381-384
  8. Dai, Z. D., et al., An New Mechanical Feature of Two-Solitary Wave to KdV Equation, Chin. Phys. Lett., 29 (2012), 4, pp. 40201-40207
  9. Inan, E., Some Exact Solutions to the Potential Kadomtsev-Petviashvili Equation and to a System of Shallow Water Equation, Phys. Lett. A, 35 (2006), 5, pp. 314-322
  10. Zeng, X., Some Exact Periodic Soliton Solutions and Resonance for the Potential Kadomtsev- Petviashvili Equation, Chaos Soliton Fract, 42 (2009), 2, pp. 657-661
  11. Chen, H., New Multiple Soliton Solutions to the General Burgers-Fisher Equation and the Kuramoto- Sivashinsky Equation, Chaos Solitons Fract, 28 (2004), 1, pp. 71-76
  12. Xong, Q., Application of Exp-Function Method to Potential Kadomtsev-Petviashvili Equation, Chaos, Solitons and Fractal, 42 (2009), 6, pp. 2653-2659
  13. Dai, Z. D., et al., Exact Periodic Kink-Wave and Degenerative Soliton Solutions for Potential Kadomtsev-Petviashvili Equation, Commun Non-linear Sci. Numer Simulat. 15 (2010), 5, pp. 2331-2336
  14. Huang, J., et al., Homoclinic Orbits and Periodic Solitons for Boussinesq Equation with Evenconstraint, Chaos Solitons Fract, 38 (2005), 6, pp. 1189-1194
  15. Darvishi, M. T., Najafi, M., A Modification of Extended Homoclinic Test Approach to Solve the (3+1)- Dimensional Potential-YTSF Equation, Chinese Phys. Lett. 28 (2011) 4, 040202
  16. He, J.-H. Asymptotic Methods for Solitary Solutions and Compactons, Abstract and Applied Analysis (2012), ID 916793

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence