Diversity soliton excitations for the (2+1)-dimensional Schwarzian Korteweg-de Vries equation

Li, Zitian

doi:10.2298/tsci1804781l

Cited by 4 publications

(3 citation statements)

References 17 publications

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“…Equation ( 2) has an essential role in a right-moving soliton and the nonlocal form. However, we study a new form of equation (2) that is given in the following system [27]:…”

Section: Introductionmentioning

confidence: 99%

Dynamical Behaviour of the Light Pulses through the Optical Fiber: Two Nonlinear Atangana Conformable Fractional Evolution Equations

Alfalqi

Khater

Alzaidi

et al. 2020

Journal of Mathematics

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This study, using the extended simplest method of equation, examines the explicit movement solutions of both the Schwarzian Korteweg-de Vries (SKdV) and (2 + 1)-Ablowitz-Kaup-Newell-Segur (AKNS.) equation. These models show the movement of the waves in optical fiber mathematically. The SKdV equation explains the movement of the isolated waves in diverse fields and on the site in a small space microsection. Some solutions obtained have been developed to show the physical and dynamic behaviors of these solutions in the obtained wave.

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“…Equation ( 2) has an essential role in a right-moving soliton and the nonlocal form. However, we study a new form of equation (2) that is given in the following system [27]:…”

Section: Introductionmentioning

confidence: 99%

Dynamical Behaviour of the Light Pulses through the Optical Fiber: Two Nonlinear Atangana Conformable Fractional Evolution Equations

Alfalqi

Khater

Alzaidi

et al. 2020

Journal of Mathematics

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“…6 All these phenomena can be explained by the rogue wave. 7,8 Dan et al. 9 applied Hall–Petch effect or the geometrical potential theory 10–12 to stabilize bubble walls so that bubbles can be enlarged during the spinning process.…”

Section: Introductionmentioning

confidence: 99%

“…6 All these phenomena can be explained by the rogue wave. 7,8 Dan et al 9 applied Hall-Petch effect or the geometrical potential theory [10][11][12] to stabilize bubble walls so that bubbles can be enlarged during the spinning process. To investigate wave propagation processes for nonlinear problems, some effective methods have been proposed.…”

Section: Introductionmentioning

confidence: 99%

Rational breather waves in a nonlinear vibration system

2019

Journal of Low Frequency Noise, Vibration and Active Control

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A nonlinear vibration system behaviors always periodically; however, sometimes a vibrating structure, e.g. an empty oil tank, will be collapsed suddenly. This can be explained as a kind of rogue waves. This paper gives a general approach to search for rational breather waves to nonlinear equations including nonlinear vibration systems and dispersive wave systems. A breather type of rogue wave solution which contains two peaks whose amplitudes are two to three times higher than its surrounding waves and generally forms in a short time is constructed. Moreover, by using three-wave method, new breather-type multisolitary coherent structures are presented, the fusion interactions of localized structures are discussed and graphically investigated, showing some novel features and interesting behaviors.

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Mathematical modeling and component generalization of (2+1)-dimensional Schwarz–Kortweg–de Vries model in shallow water waves

Shehzad,

Seadawy,

Ahmed

et al. 2024

Mod. Phys. Lett. B

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This work employs the sub-ODE method to compute new soliton solutions for the component generalization of [Formula: see text]-dimensional Schwarz–Kortweg–de Vries (SKdV) equation in shallow water waves. The rational soliton solutions (RSS), Jacobian elliptic function (JEF), periodic solutions (PS), hyperbolic function solutions (HFS), positive solitons, dark soliton solutions (DSS) and bright soliton solutions (BSS) are constructed with this technique. Solitons-like solutions, HFS and trigonometric-function solutions (TFS) are also found as the JEF’s parameter m approaches values of 1 and 0, respectively. The suggested approach for the nonlinear equations in mathematical physics is concise, simple, effective, and promising.

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Diversity soliton excitations for the (2+1)-dimensional Schwarzian Korteweg-de Vries equation

Cited by 4 publications

References 17 publications

Dynamical Behaviour of the Light Pulses through the Optical Fiber: Two Nonlinear Atangana Conformable Fractional Evolution Equations

Dynamical Behaviour of the Light Pulses through the Optical Fiber: Two Nonlinear Atangana Conformable Fractional Evolution Equations

Rational breather waves in a nonlinear vibration system

Mathematical modeling and component generalization of (2+1)-dimensional Schwarz–Kortweg–de Vries model in shallow water waves

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