Interaction of lumps and dark solitons in the Mel’nikov equation-Reference-Cited by-同舟云学术

Interaction of lumps and dark solitons in the Mel’nikov equation

Published:2018-03-07 Issue:4 Volume:92 Page:2049-2059
ISSN:0924-090X
Container-title:Nonlinear Dynamics
language:en
Short-container-title:Nonlinear Dyn

Author:

Sun Baonan,Wazwaz Abdul-Majid

Funder

National Key Research and Development Program of China

NSFC–Shandong Joint Fund for Marine Science Research Centers

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Link

http://link.springer.com/article/10.1007/s11071-018-4180-7/fulltext.html

Reference48 articles.

1. Whitham, G.B.: Linear and Nonlinear Waves. Wiley, New York (1974)

2. Kawahara, T.: Formation of saturated solitons in a nonlinear dispersive system with instability and dissipation. Phys. Rev. Lett. 51, 381–382 (1983)

3. Aspe, H., Depassier, M.C.: Evolution equation of surface waves in a convecting fluid. Phys. Rev. A 41, 3125–3128 (1990)

4. Garazo, A.N., Velarde, M.G.: Dissipative Korteweg-de Vries description of Marangoni-Bénard oscillatory convection. Phys. Fluids A 3, 2295–2300 (1991)

5. CerverÓ, J., Zurrón, O.: Integrability of the perturbed KdV equation for convecting fluids: symmetry analysis and solutions. J. Nonlinear Math. Phys. 3, 1–23 (1996)

Cited by 40 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Dynamical exploration of kink and lump interaction solutions for the integrable (3+1)-dimensional Ito equation;Romanian Reports in Physics;2024-09-15

2. Dynamics of General Soliton and Rational Solutions in the $$(3+1)$$-Dimensional Nonlocal Mel’nikov Equation with Non-zero Background;Qualitative Theory of Dynamical Systems;2024-06-06

3. Solitons, breathers and rational solutions for the (2 + 1)-dimensional Konopelchenko–Dubrovsky equation;Nonlinear Dynamics;2024-04-29

4. General soliton, line breather and (semi-)rational solutions for the nonlocal long-wave-short-wave resonance interaction equation;Nonlinear Dynamics;2023-11-22

5. Generation of anomalously scattered lumps via lump chains degeneration within the Mel’nikov equation;Nonlinear Dynamics;2023-06-08