Results 21 to 30 of about 1,146 (297)
Results in Physics, 2023 Propagation of the pressure waves in a liquid with gas bubbles is an important topic in the field of fluid dynamics and mathematical physics. The Kudryashov-Sinelshchikov equation is one of the models that describe the propagation of nonlinear waves in a
Md. Nuruzzaman +4 more
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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
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Results in Physics, 2023 The main purpose of this paper is to learn N-soliton, M-lump, breather solutions and interaction solutions for a KdV equation with variable coeffificients.
Deniu Yang
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New wave behaviors of the Fokas-Lenells model using three integration techniques.
PLoS ONE, 2023 In this investigation, we apply the improved Kudryashov, the novel Kudryashov, and the unified methods to demonstrate new wave behaviors of the Fokas-Lenells nonlinear waveform arising in birefringent fibers.
Mohammad Safi Ullah +2 more
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Ghost Interaction of Breathers
Frontiers in Physics, 2020 Mutual interaction of localized nonlinear waves, e.g., solitons and modulation instability patterns, is a fascinating and intensively-studied topic of nonlinear science.
Gang Xu +8 more
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Peregrine Soliton as a Limiting Behavior of the Kuznetsov-Ma and Akhmediev Breathers
Frontiers in Physics, 2021 This article discusses a limiting behavior of breather solutions of the focusing nonlinear Schrödinger equation. These breathers belong to the family of solitons on a non-vanishing and constant background, where the continuous-wave envelope serves as a ...
Natanael Karjanto
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Breather solutions of the nonlinear wave equation [PDF]
Communications on Pure and Applied Mathematics, 1991 We construct series solutions to all orders for breathers of Klein-Gordon equations, in powers of an amplitude parameter epsilon, under a sign condition on the coefficients of the expansion of the nonlinearity. All terms may be computed thanks to the properties of a 1D Schrödinger equation with two-soliton potential.
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KdV breathers on a cnoidal wave background
Journal of Physics A: Mathematical and Theoretical, 2023 Abstract Using the Darboux transformation for the Korteweg–de Vries equation, we construct and analyze exact solutions describing the interaction of a solitary wave and a traveling cnoidal wave. Due to their unsteady, wavepacket-like character, these wave patterns are referred to as breathers. Both elevation (bright) and depression (dark)
Mark A Hoefer +2 more
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Nonlinear Engineering, 2023 In this article, the equation showing the cold bosonic atoms in a zig-zag optical lattice model for some breathers, M-shaped solution and lump soliton solution, homoclinic breather pulses, breather lump pulses, periodic-cross kink wave, kink cross ...
Rizvi Syed T. R. +2 more
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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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