An efficient computational approach for generalized Hirota-Satsuma coupled KdV equations arising in shallow water waves

• Autorzy: Sumit Gupta , Devendra Kumar , Jagdev Singh
• Języki publikacji: EN

Abstrakty

EN

The aim of this letter is to present a numerical algorithm for generalized Hirota-Satsuma coupled KdV equations arising in unidirectional propagation of shallow water waves by using the homotopy analysis transform technique. The computational approach is the merged form of the homotopy analysis technique and Laplace transform scheme. The technique provides a series solution, which converges very fast, components are very easily calculated, and it does not require linearization or small perturbation. The numerical and graphical results derived by making use of proposed approach indicate that the scheme is very user friendly and easy to implement.

Słowa kluczowe

EN

Hirota-Satsuma coupled KdV equations; Shallow water waves; Homotopy analysis method; Laplace transform method; Approximate solution

• Wydawca: De Gruyter Open
• Czasopismo: Waves, Wavelets and Fractals
• Rocznik: 2017
• Tom: 3
• Numer: 1
• Strony: 14-30

Daty

wydano

2017-04-01

otrzymano

2016-04-15

zaakceptowano

2017-02-08

online

2017-04-27

Twórcy

autor

Sumit Gupta

• Department of Mathematics, Swami Keshvanand Institute of Technology, Management and Gramothan, Ramnagaria, Jaipur 302017, Rajasthan,

autor

Devendra Kumar

• Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan,

autor

Jagdev Singh

• Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan,

Identyfikatory

DOI

10.1515/wwfaa-2017-0002