Single soliton and double soliton solutions of the quadratic‐nonlinear Korteweg‐de Vries equation for small and long‐times-Reference-Cited by-同舟云学术

Single soliton and double soliton solutions of the quadratic‐nonlinear Korteweg‐de Vries equation for small and long‐times

Published:2020-10-22 Issue:2 Volume:37 Page:1561-1582
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer Methods Partial Differential Eq.

Author:

Başhan Ali¹^ORCID,Esen Alaattin²

Affiliation:

1. Department of Mathematics, Faculty of Science and Art Zonguldak Bulent Ecevit University Zonguldak Turkey

2. Department of Mathematics Inonu University Malatya Turkey

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/num.22597

Reference44 articles.

1. XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves

2. L.vanWijngaarden Linear and nonlinear dispersion of pressure pulses in liquid bubble mixtures Sixth Symposium Naval Hydrodynamics Washington DC 1966 pp. 115–128.

3. On the equations of motion for mixtures of liquid and gas bubbles;Wijngaarden L.;J. Fluid Mech.,1968

4. C. S.Gardner G. K.Morikawa Similarity in the asymptotic behavior of collision‐free hydromagnetic waves and water waves New York Univ. Inst. of Mathematical Sciences Technical Report 1960.

5. Propagation of Ion-Acoustic Solitary Waves of Small Amplitude

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