Results 1 to 10 of about 3,940,396 (270)

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

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   +4 more sources

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   +2 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   +2 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
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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   +2 more sources

Revealing homoclinic breather waves, periodic lump waves and other waves forms of an integrable reduced spin Hirota-Maxwell-Bloch system [PDF]

Scientific Reports
In this manuscript, we investigate various wave forms of an integrable reduced spin Hirota-Maxwell-Bloch system, which accounts for the femtosecond pulses transmitted in an erbium doped fibre.
Baboucarr Ceesay, Muhammad Waqas Yasin, Nauman Ahmed, Muhammad Zafarullah Baber, Ebrima Bittaye   +4 more
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Comparative analysis of lump, breather, and interaction solutions using a bidirectional data mapping approach [PDF]

Scientific Reports
This study analyzes the $$(2+1)$$ -dimensional Boussinesq equation, a fundamental model in coastal and ocean engineering for describing the propagation of long waves in shallow water.
Syeda Sarwat Kazmi, Muhammad Bilal Riaz
doaj   +2 more sources

Stability of Breathers for a Periodic Klein–Gordon Equation [PDF]

Entropy
The existence of breather-type solutions, i.e., solutions that are periodic in time and exponentially localized in space, is a very unusual feature for continuum, nonlinear wave-type equations.
Martina Chirilus-Bruckner, Jesús Cuevas-Maraver, Panayotis G. Kevrekidis   +2 more
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Darboux Transformation and Soliton Solution of the Nonlocal Generalized Sasa–Satsuma Equation

Mathematics, 2023
This paper aims to seek soliton solutions for the nonlocal generalized Sasa–Satsuma (gSS) equation by constructing the Darboux transformation (DT). We obtain soliton solutions for the nonlocal gSS equation, including double-periodic wave, breather-like ...
Hong-Qian Sun, Zuo-Nong Zhu
doaj   +1 more source

Lumps with their some interactions and breathers to an integrable (2 + 1)-dimensional Boussinesq equation in shallow water

Results in Physics, 2022
In this paper, the lumps with their interactions (lump-single and lump-double stripes), and breather wave solutions are constructed to the new integrable (2 + 1)-dimensional Boussinesq equation via the Hirota bilinear method.
Md. Nuruzzaman, Dipankar Kumar
doaj   +1 more source