Results 1 to 10 of about 3,970,466 (307)

Lump, lump-stripe, and breather wave solutions to the (2 + 1)-dimensional Sawada-Kotera equation in fluid mechanics [PDF]

Heliyon, 2021
The present study investigates the lump, one-stripe, lump-stripe, and breather wave solutions to the (2+1)-dimensional Sawada-Kotera equation using the Hirota bilinear method.
Md. Emran Ali, Farjana Bilkis, Gour Chandra Paul, Dipankar Kumar, Hasibun Naher   +4 more
doaj   +3 more sources

Multiple rogue wave, double-periodic soliton and breather wave solutions for a generalized breaking soliton system in (3 + 1)-dimensions [PDF]

Scientific Reports
We focused on solitonic phenomena in wave propagation which was extracted from a generalized breaking soliton system in (3 + 1)-dimensions. The model describes the interaction phenomena between Riemann wave and long wave via two space variable in ...
Wenfang Li, Yingchun Kuang, Jalil Manafian, Somaye Malmir, Baharak Eslami, K. H. Mahmoud, A. S. A. Alsubaie   +6 more
doaj   +3 more sources

The nonlinear vibration and dispersive wave systems with extended homoclinic breather wave solutions

Open Physics, 2022
This article investigates the extended homoclinic (heteroclinic) breather wave solutions and interaction periodic and dark soliton solutions to the nonlinear vibration and dispersive wave systems.
Rao Xianqing, Manafian Jalil, Mahmoud K. H., Hajar Afandiyeva, Mahdi Ahmed B., Zaidi Muhaned   +5 more
doaj   +3 more sources

Breather Wave Solutions for the (3+1)-D Generalized Shallow Water Wave Equation with Variable Coefficients

Qualitative Theory of Dynamical Systems, 2023
The equation of the shallow water wave in oceanography and atmospheric science is extended to (3+1) dimensions, which is a known equation. To achieve this, an illustrative example of the VC generalized shallow water wave equation is provided to ...
Jalil Manafian, Mehrdad Lakestani
exaly   +3 more sources

Exact breather waves solutions in a spatial symmetric nonlinear dispersive wave model in (2+1)-dimensions [PDF]

Scientific Reports
In this article, the spatial symmetric nonlinear dispersive wave model in (2+1)-dimensions is studied, which have many applications in wave phenomena and soliton interactions in a two-dimensional space with time.
Qunyan Zou, Jalil Manafian, Somaye Malmir, K. H. Mahmoud, A. SA. Alsubaie, Nilofer Ali Ewadh, Ihssan Alrekabi   +6 more
doaj   +3 more sources

Breather Wave and Traveling Wave Solutions for A (2 + 1)-Dimensional KdV4 Equation

Advances in Mathematical Physics, 2022
In this paper, an integrable (2 + 1)-dimensional KdV4 equation is considered. By considering variable transformation and Bell polynomials, an effective and straightforward way is presented to derive its bilinear form.
Sixing Tao
doaj   +2 more sources

Soliton dynamics and stability analysis of a double-chain DNA model with various chaos detection tools [PDF]

Scientific Reports
This investigation employs an analytical approach, specifically the extended Jacobian elliptic expansion function method, to investigate the soliton dynamics of the double-chain model of DNA. Using this scheme, the kink wave, anti-kink wave, dark soliton,
Mohammad Safi Ullah, Rabeya Akter
doaj   +2 more sources

Multi-wave, breather wave and lump solutions of the Boiti–Leon–Manna–Pempinelli equation with variable coefficients

Results in Physics, 2020
In this paper, a variable-coefficient Boiti–Leon–Manna–Pempinelli equation is to be investigated. We obtain abundant multi-wave, breather wave and lump solutions by using the three waves method, the homoclinic breather approach and the Hirota’s bilinear ...
Jian-Guo Liu, Wang-Ping Xiong
doaj   +2 more sources

Breather wave solutions for the generalized shallow water wave equation with variable coefficients in the atmosphere, rivers, lakes and oceans

Computers and Mathematics With Applications, 2019
Herein, a (3+1)-dimensional generalized shallow water wave equation with variable coefficients is studied, which describes the flow below a pressure surface in a fluid.
Jian-Guo Liu, Wen-Hui Zhu, Jian-Guo Liu   +2 more
exaly   +2 more sources

Dynamical analysis of lump, lump-triangular periodic, predictable rogue and breather wave solutions to the (3 + 1)-dimensional gKP–Boussinesq equation

Results in Physics, 2020
This paper studies the dynamics of shallow water waves with the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq (gKP–Boussinesq) equation arising in fluid mechanics.
Gour Chandra Paul, Farhana Zannat Eti, Dipankar Kumar   +2 more
doaj   +2 more sources