The Mass Calculation of Solitary Wave Solution of the One-Dimensional Burgers Equation
DOI:
https://doi.org/10.26418/positron.v2i1.2005Keywords:
Solitary wave, Burgers equation.Abstract
We have calculated the mass of the solitary wave solution of the one-dimensional Burgers equation by integrating the Hamiltonian density of its equation based on the formulation of the classical field theory. To use this method, we first construct the Lagrangian density in order to obtain the Hamiltonian density by initially introducing the ansatz function of the appropriate field. In this paper, we have obtained that the mass of the solitary of the one-dimensional of Burgers equation is literally divergent.
References
A. C. Scott, F. Y. F. Chu, and D. W. Mclaughlin, Proceedings of the IEEE, Vol. 61, No. 10, 1973.
P. G. Drazin and R. S. Johnson, Solitons: an Introduction, New York: Cambridge University Press, 2002.
J. M. Burgers, The Nonlinear Diffusion Equation, Boston: D. Rendel Publishing Company, 1974.
N. A. Kudryashov and D. I. Sinelshchikov, arXiv: 0912.1542v1, 2009.
Z. Feng, Phys. Lett. A 293 (2002) 57.
J. L. V. Lewandowski, International Journal of Numerical Analysis and Modeling 3 (2006) 80.
Ch. S. Rao and E. Saryanarayana, International Journal of Nonlinear Science 9 (2010) 290.
H. J. Wospakrik, J. Theor. Comput. Stud. 4 (2005) 0308.
A. Acus, arXiv : hep-ph/9901240v1, 1999.
J. Schecter and H. Weigel, arXiv : hep-ph/9907554v1, 1999.
M. Hadi and H. J. Wospakrik, arXiv : hep-ph/1007.0888v1, 2010.
T. B. Prayitno, will be published in Jurnal Fisika, Universitas Negeri Semarang, 2012.
L. H. Ryder, Quantum Field Theory, 2nd ed., Cambridge: Cambridge University Press, 1996.
Downloads
Published
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
This work is licensed under a Creative Commons Attribution 4.0 International License.
