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 +5 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 +4 more
doaj +5 more sources
Multiple rogue wave, double-periodic soliton and breather wave solutions for a generalized breaking soliton system in (3 + 1)-dimensions [PDF]
Scientific ReportsWe 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 +6 more
doaj +4 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 +5 more
doaj +4 more sources
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 ...
Mehrdad Lakestani +2 more
exaly +3 more sources
Two-wave, breather wave solutions and stability analysis to the (2 + 1)-dimensional Ito equation [PDF]
Journal of Ocean Engineering and Science, 2021 The current study employs the novel Hirota bilinear scheme to investigate the nonlinear model. Thus, we acquire some two-wave and breather wave solutions to the governing equation. Breathers are pulsating localized structures that have been used to mimic
Bayram, Mustafa +4 more
core +4 more sources
Rogue waves: from nonlinear Schrödinger breather solutions to sea-keeping test. [PDF]
PLoS ONE, 2013 Under suitable assumptions, the nonlinear dynamics of surface gravity waves can be modeled by the one-dimensional nonlinear Schrödinger equation. Besides traveling wave solutions like solitons, this model admits also breather solutions that are now ...
Miguel Onorato +3 more
doaj +7 more sources
Exact breather waves solutions in a spatial symmetric nonlinear dispersive wave model in (2+1)-dimensions [PDF]
Scientific ReportsIn 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 +6 more
doaj +3 more sources
Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation. [PDF]
Sci Rep, 2023 In this paper, the exact solutions of generalized nonlinear Schrödinger (GNLS) equation are obtained by using Darboux transformation(DT). We derive some expressions of the 1-solitons, 2-solitons and n-soliton solutions of the GNLS equation via ...
Fan C, Li L, Yu F.
europepmc +5 more sources
AIMS Mathematics, 2022 <abstract><p>In this paper, a (3+1)-dimensional nonlinear evolution equation is considered. First, its bilinear formalism is derived by introducing dependent variable transformation. Then, its breather wave solutions are obtained by employing the extend homoclinic test method and related figures are presented to illustrate the dynamical ...
Sixing Tao
semanticscholar +4 more sources