HIROTA METHOD AND SOLITON SOLUTIONS
Abstract
Keywords
References
- [1] Russell, J.S., “Report on waves”, report of the 14th meeting of the British Association for the Advancement of science, John Murray, London, 311–390, 1845.
- [2] Boussinesq, J., “Theorie de l’intumescence liquid appellee onde solitare ou de translation, se propageant dans un canal rectangulaire”, C. R. Acad. Sci., Paris, 1872.
- [3] Korteweg, D.J., De Vries, G., “On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves”, Phil. Mag., 39(240), 422 -443, 1895.
- [4] Fermi, A., Pasta, J., Ulam, S., “Studies of nonlinear problems”, I. Los Alamos Report LA- 1940, Los Alamos National Laboratory, May 1955.
- [5] Zabusky, N.J., Kruskal, M.D., “Interaction of solitons in a collisionless plasma and the recurrence of initial states” Phys Rev. Lett., 15, 240-243, 1965.
- [6] Miura, R.M., “Korteweg-de Vries equation and generalizations I. A remarkable explicit nonlinear transformation”, J. Math. Phys., 9, 1202-1204, 1968.
- [7] Gardner, C.S., Greene, J.M., Kruskal, M.D., Miura; R.M., “Method for solving the Korteweg-de Vries equation”, Phys. Rev. Lett., 19(19), 1095-1097, 1967.
- [8] Gardner, C.S., “Korteweg-de Vries equation and generalizations IV. The Korteweg-de Vries equation as a Hamiltonian system”, J. Math. Phys., 12, 1548–1551, 1971. [9] Gardner, C.S., Greene, J.M., Kruskal, M.D., Miura; R.M., “Korteweg-de Vries equation and generalizations VI. Methods for exact solution”, Comm. Pure Appl.Math., 27, 97-133, 1974.
Details
Primary Language
English
Subjects
Mathematical Physics
Journal Section
Review
Authors
Barış Yapışkan
*
0000-0003-2783-9394
Türkiye
Publication Date
December 31, 2022
Submission Date
November 30, 2021
Acceptance Date
August 25, 2022
Published in Issue
Year 2022 Volume: 8 Number: 2
Cited By
A search method for Hirota bilinear systems of nonlinear evolution equations
Next Research
https://doi.org/10.1016/j.nexres.2025.100705Formation of optical solitons for the nonlinear generalized (3+1)-dimensional Sasa–Satsuma equation
International Journal of Modern Physics B
https://doi.org/10.1142/S0217979226501079







