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
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Investigation on breather waves and rogue waves in applied mechanics and physics
Alexandria Engineering Journal, 2021 Nonlinear evolution equation is a research hot spot in the field of science and engineering. Recently, searching for breather and rogue wave solutions to nonlinear evolution equations has become a popular topic in nonlinear mathematical physics.
Xueai Yin +4 more
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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
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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
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Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics [PDF]
Nonlinear Dynamics, 2022 The breather wave and lump periodic wave solutions for the (2 + 1)-dimensional Caudrey–Dodd– Gibbon–Kotera–Sawada system are established in this paper. To achieve such novel solutions, we employ the Hirota bilinear approach.
Abdullahi Yusuf +2 more
exaly +2 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
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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
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Complexity, 2020 We investigate a reduced generalized (3 + 1)-dimensional shallow water wave equation, which can be used to describe the nonlinear dynamic behavior in physics. By employing Bell’s polynomials, the bilinear form of the equation is derived in a very natural
Jing Wang, Biao Li
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General breather and rogue wave solutions to the complex short pulse equation
Physica D: Nonlinear Phenomena, 2022 In the present paper, we attempt to construct both the breather and rogue wave solutions to the focusing complex short pulse (fCSP) equation via the KP–Toda reduction method.
Bao-Feng Feng
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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
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