Lump and lump strip solutions to the (3 + 1)-dimensional generalized Kadomtsev-Petviashvili equation

In this paper, a new evolution of polarized light ray by optical fiber in the pseudohyperbolic space H 2 0 is examined. Firstly, the characterization of the parallel transportation law associated with the geometric pseudohyperbolic phase of the light ray is given. Later, a principle nature of electric and magnetic field along with the light ray in the pseudohyperbolic space H 2 0 is defined by the geometric invariants. Finally, optical solutions of nonlinear pseudohyperbolic Schrödinger's equations governing the propagation of electromagnetic fields are successfully derived by using the traveling wave hypothesis approach.

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“…Relationship between revolution equations of electromagnetic pseudohyperbolic fields

((), boldE bold, boldM)

with nonlinear Schr ödinger structure can be found in previous studies 39–49 …”

Section: Revolution For Electromagnetic Pseudohyperbolic Fields With ...mentioning

confidence: 97%

“…Relationship between revolution equations of electromagnetic pseudohyperbolic fields (E , M) with nonlinear Schr ödinger structure can be found in previous studies. [39][40][41][42][43][44][45][46][47][48][49] ♠ If E ⟂ t and t r = t vv , then…”

Section: Revolution For Electromagnetic Pseudohyperbolic Fields With ...mentioning

confidence: 99%

New approach for propagated light with optical solitons by optical fiber in pseudohyperbolic space ℍ02

Körpınar

Băleanu

et al. 2021

Math Methods in App Sciences

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“…Besides, Sadat et al [29] got lump-type solutions and their interaction solutions with one or twostripe solutions through the Hirota bilinear scheme and the Cole-Hopf transformation for a generalized (3 + 1) shallow water-like equation. e lump and lump strip outputs of the (3 + 1)-D generalized Kadomtsev-Petviashvili equation were found by way of the generalized bilinear operator with the parameter p � 3 [30]. In the study by Wu et al [31], by using an extended Bäcklund transformation, the symmetry breaking soliton, breather, and lump outputs of a nonlocal KP were obtained.…”

Section: Introductionmentioning

confidence: 99%

N‐Lump to the (2+1)‐Dimensional Variable‐Coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada Equation

Manafian

Wardhana

et al. 2022

Complexity

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In this research, the (2 + 1)-dimensional (D) variable-coefficient (VC) Caudrey–Dodd–Gibbon–Kotera–Sawada model used in soliton hypothesis and implemented by operating the Hirota bilinear scheme is studied. A few modern exact analytical outcomes containing interaction between a lump-two kink soliton, interaction between two-lump, the interaction between two-lump soliton, lump-periodic, and lump-three kink outcomes for the (2 + 1)-D VC Caudrey–Dodd–Gibbon–Kotera–Sawada equation by Maple Symbolic packages are obtained. By employing Hirota’s bilinear technique, the extended soliton solutions according to bilinear frame equation are received. For this model, the contemplated model can be got by multi-D binary Bell polynomials (bBPs). In addition, the analytical analysis of the high-order soliton outcomes to present the discipline of outcomes. The effect of the free parameters on the behavior of acquired figures of a few obtained solutions for the nonlinear rational exact cases was also discussed. The above technique could also be employed to get exact solutions for other nonlinear models in physics, applied mathematics, and engineering.

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Investigation on breather waves and rogue waves in applied mechanics and physics

Yin

Chen

Wang

et al. 2021

Alexandria Engineering Journal

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Lump and lump strip solutions to the (3 + 1)-dimensional generalized Kadomtsev-Petviashvili equation

Cited by 17 publications

References 38 publications

New approach for propagated light with optical solitons by optical fiber in pseudohyperbolic space ℍ02

New approach for propagated light with optical solitons by optical fiber in pseudohyperbolic space ℍ02

N‐Lump to the (2+1)‐Dimensional Variable‐Coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada Equation

Investigation on breather waves and rogue waves in applied mechanics and physics

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