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Dispersive of propagation wave solutions to unidirectional shallow water wave Dullin–Gottwald–Holm system and modulation instability analysis.
- Source :
- Mathematical Methods in the Applied Sciences; Mar2021, Vol. 44 Issue 5, p4094-4104, 11p
- Publication Year :
- 2021
-
Abstract
- This article possesses modulation instability (MI) analysis and new exact wave solutions to unidirectional Dullin–Gottwald–Holm (DGH) system that describes the prorogation of waves in shallow water. The exact wave solutions in single and combined form like shock, singular, and shock‐singular are extracted by means of an innovative integration norm, namely, G′/G2‐expansion scheme. The periodic and plane wave solutions are also emerged. The constraint conditions which ensure the existence of solutions are discussed as well. Moreover, the choice of suitable parameters gives the three‐dimensional and two‐dimensional sketches, and furthermore, their contour plots are also drawn. [ABSTRACT FROM AUTHOR]
- Subjects :
- WATER waves
THEORY of wave motion
WATER depth
PLANE wavefronts
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 44
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 148996655
- Full Text :
- https://doi.org/10.1002/mma.7013