Atıf İçin Kopyala
GÜRSES M., Pekcan A.
PHYSICS LETTERS A, cilt.384, sa.35, 2020 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
384
Sayı:
35
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Basım Tarihi:
2020
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Doi Numarası:
10.1016/j.physleta.2020.126894
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Dergi Adı:
PHYSICS LETTERS A
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, Communication Abstracts, INSPEC, Metadex, Philosopher's Index, zbMATH, DIALNET, Civil Engineering Abstracts
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Anahtar Kelimeler:
Hirota-Satsuma system, Local and nonlocal KdV equations, Ablowitz-Musslimani reductions, Hirota method, NONLINEAR SCHRODINGER-EQUATION, INVERSE SCATTERING TRANSFORM, DE-VRIES EQUATION, SOLITON-SOLUTIONS, DARBOUX TRANSFORMATION, RECURSION OPERATOR, INTEGRABILITY, SYSTEM
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Hacettepe Üniversitesi Adresli:
Evet
Özet
Writing the Hirota-Satsuma (HS) system of equations in a symmetrical form we find its local and new nonlocal reductions. It turns out that all reductions of the HS system are Korteweg-de Vries (KdV), complex KdV, and new nonlocal KdV equations. We obtain one-soliton solutions of these KdV equations by using the method of Hirota bilinearization. (C) 2020 Elsevier B.V. All rights reserved.