Review

HIROTA METHOD AND SOLITON SOLUTIONS

Volume: 8 Number: 2 December 31, 2022
EN

HIROTA METHOD AND SOLITON SOLUTIONS

Abstract

Solitons are an important class of solutions to nonlinear differential equations which appear in different areas of physics and applied mathematics. In this study we provide a general overview of the Hirota method which is one of the most powerful tool in finding the multi-soliton solutions of nonlinear wave and evaluation equations. Bright and dark soliton solutions of nonlinear Schrödinger equation are discussed in detail

Keywords

References

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  4. [4] Fermi, A., Pasta, J., Ulam, S., “Studies of nonlinear problems”, I. Los Alamos Report LA- 1940, Los Alamos National Laboratory, May 1955.
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  6. [6] Miura, R.M., “Korteweg-de Vries equation and generalizations I. A remarkable explicit nonlinear transformation”, J. Math. Phys., 9, 1202-1204, 1968.
  7. [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. [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

Publication Date

December 31, 2022

Submission Date

November 30, 2021

Acceptance Date

August 25, 2022

Published in Issue

Year 2022 Volume: 8 Number: 2

APA
Yapışkan, B. (2022). HIROTA METHOD AND SOLITON SOLUTIONS. Middle East Journal of Science, 8(2), 157-172. https://doi.org/10.51477/mejs.1029348
AMA
1.Yapışkan B. HIROTA METHOD AND SOLITON SOLUTIONS. MEJS. 2022;8(2):157-172. doi:10.51477/mejs.1029348
Chicago
Yapışkan, Barış. 2022. “HIROTA METHOD AND SOLITON SOLUTIONS”. Middle East Journal of Science 8 (2): 157-72. https://doi.org/10.51477/mejs.1029348.
EndNote
Yapışkan B (December 1, 2022) HIROTA METHOD AND SOLITON SOLUTIONS. Middle East Journal of Science 8 2 157–172.
IEEE
[1]B. Yapışkan, “HIROTA METHOD AND SOLITON SOLUTIONS”, MEJS, vol. 8, no. 2, pp. 157–172, Dec. 2022, doi: 10.51477/mejs.1029348.
ISNAD
Yapışkan, Barış. “HIROTA METHOD AND SOLITON SOLUTIONS”. Middle East Journal of Science 8/2 (December 1, 2022): 157-172. https://doi.org/10.51477/mejs.1029348.
JAMA
1.Yapışkan B. HIROTA METHOD AND SOLITON SOLUTIONS. MEJS. 2022;8:157–172.
MLA
Yapışkan, Barış. “HIROTA METHOD AND SOLITON SOLUTIONS”. Middle East Journal of Science, vol. 8, no. 2, Dec. 2022, pp. 157-72, doi:10.51477/mejs.1029348.
Vancouver
1.Barış Yapışkan. HIROTA METHOD AND SOLITON SOLUTIONS. MEJS. 2022 Dec. 1;8(2):157-72. doi:10.51477/mejs.1029348

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