Rogue waves for a generalized nonlinear Schrödinger equation with distributed coefficients in a monomode optical fiber

Sun, Yuekai; Tian, Bo; Liu, Lei; Wu, Xiao-Yu

doi:10.1016/j.chaos.2017.12.012

Cited by 18 publications

(2 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Rogue waves [27][28][29][30][31][32][33], sometimes known as enormous solitary waves that 'come from nowhere' in the water, are localized in space-time with significant amplitude. They can severely harm people since they are unexpected and extensive.…”

Section: Introductionmentioning

confidence: 99%

Newly formed center-controlled rouge wave and lump solutions of a generalized (3+1)-dimensional KdV-BBM equation via symbolic computation approach

2023

View full text Add to dashboard Cite

In this article, we investigate the generalized (3+1)-dimensional KdV-Benjamin-Bona-Mahony equation governed with constant coefficients. It applies the Painlev'e analysis to test the complete integrability of the concerned KdV-BBM equation. The symbolic computational approach provides first-order, second-order rogue wave and lump solutions with center-controlled parameters. The rogue waves localized in space and time have a significant amplitude, and lumps are of rational form solution, localized decaying solutions in all space directions rationally. Utilizing a symbolic computation approach, we get the bilinear equation of the KdV-Benjamin-Bona-Mahony equation and show the center-controlled rogue waves and lumps. We employ the symbolic system software \textit{Mathematica} to do the symbolic computations, form the first and second-order rogue waves, and lump solutions with appropriate values of constant coefficients. The KdV-Benjamin-Bona-Mahony equation analyses the evolution of long waves with modest amplitudes propagating in plasma physics and the motion of waves in fluids and other weakly dispersive mediums. Moreover, rogue waves and lumps occur in several scientific areas, such as fluid dynamics, optical fibers, dusty plasma, oceanography, water engineering, and other nonlinear sciences.

show abstract

Section: Introductionmentioning

confidence: 99%

Newly formed center-controlled rouge wave and lump solutions of a generalized (3+1)-dimensional KdV-BBM equation via symbolic computation approach

2023

View full text Add to dashboard Cite

show abstract

“…Particular examples of lump solutions are found for many integrable equations such as the KPI equation [12], the Davey-Stewartson II equation [13], the BKP equation [14] and the Ishimori I equation [15]. As a matter of fact, the authors of [16][17][18][19][20][21][22][23][24] found lump solutions and interaction solutions for some NLPDEs and these solutions can be used to discuss significant properties of nonlinear wave phenomena in different fields of physics and oceanology. In this paper, we focus our attention on a new form of (3 + 1) dimensional generalized KP-Boussinesq equation [25], given as…”

Section: Introductionmentioning

confidence: 99%

Dynamical analysis of lump solutions for (3 + 1) dimensional generalized KP–Boussinesq equation and Its dimensionally reduced equations

2018

View full text Add to dashboard Cite

This paper analyzes a new form of the (3 + 1) dimensional generalized Kadomtsev-Petviashvili (KP)-Boussinesq equation for exploring lump solutions by making use of its Hirota bilinear form. The sufficient and necessary conditions for assuring analyticity, positiveness and rational localization of the solutions are developed in a uniform manner. Furthermore, the dimensionally reduced new form of the (3 + 1) dimensional generalized KP-Boussinesq equation has been also considered to establish lump solutions with free parameters, which play a vital role in influencing and controlling the phase shifts, propagation directions, shapes and energy distributions for these solutions. We have depicted the profile characteristics of extracted solutions by presenting some density plots, three-dimensional plots and two-dimensional plots for particular values of the free parameters involved.

show abstract

The solitary wave, rogue wave and periodic solutions for the ( $$3+1$$ 3 + 1 )-dimensional soliton equation

Liu

You

Zhou

et al. 2018

Z. Angew. Math. Phys.

View full text Add to dashboard Cite

Rogue waves for a generalized nonlinear Schrödinger equation with distributed coefficients in a monomode optical fiber

Cited by 18 publications

References 47 publications

Newly formed center-controlled rouge wave and lump solutions of a generalized (3+1)-dimensional KdV-BBM equation via symbolic computation approach

Newly formed center-controlled rouge wave and lump solutions of a generalized (3+1)-dimensional KdV-BBM equation via symbolic computation approach

Dynamical analysis of lump solutions for (3 + 1) dimensional generalized KP–Boussinesq equation and Its dimensionally reduced equations

The solitary wave, rogue wave and periodic solutions for the ( $$3+1$$ 3 + 1 )-dimensional soliton equation

Contact Info

Product

Resources

About