THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Jun Liu

,

Xi Liu

,

Gui Mu

,

Litao Xie

LINEAR STABILITY ANALYSIS AND HOMOCLINIC ORBIT FOR A GENERALIZED NON-LINEAR HEAT TRANSFER

ABSTRACT
This paper studies the linear stability and dynamic structure for a generalized non-linear heat equation, and obtains novel analytic solutions such as homoclinc orbit and breather solitary solutions for the first time based on Hirota method.
KEYWORDS
non-linear equation, homoclinc orbit, breather solitary
PAPER SUBMITTED: 2012-07-07
PAPER REVISED: 2012-08-01
PAPER ACCEPTED: 2012-09-12
DOI REFERENCE: https://doi.org/10.2298/TSCI1205556L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2012, VOLUME 16, ISSUE Issue 5, PAGES [1556 - 1559]
REFERENCES
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  2. Liu, J., et al., Abundant Exact Solutions for the Higher Order non-Linear Schroinger Equation with Cubic- Quintic non-Kerr Terms, Commun Non-linear Sci Numer Simulat, 15, (2010), 12, pp. 3777-3782
  3. He, J.-H., A Note on the Homotopy Perturbation Method, Thermal Science, 14 (2010), 2, pp. 565-568
  4. He, J.-H., Some Asymptotic Methods for Strongly non-Linear Equations, Int. J. Mod. Phys. B, 20, (2006), 10, pp. 1141-1199
  5. Dai, Z. D., et al., New Two-Soliton and Periodic Solutions to KdV Equation, Int. J. Nonlin. Sci. Num., 11 (2010), 4, pp. 237-242
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Linear stability analysis and homoclinic orbit for a generalized non-linear heat transfer

© 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