Resonance solutions and hybrid solutions of an extended (2+1)-dimensional Kadomtsev–Petviashvili equation in fluid mechanics

Ma, Hongcai; Mao, Xue; Deng, Aiping

doi:10.1007/s11071-023-08569-6

Cited by 7 publications

(1 citation statement)

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“…The growing fascination with the KP equation has sparked significant attention towards developing and investigating its numerous extensions such as extended, generalized and variable coefficient, etc. In (Ma et al, 2023), the extended (2+1)-dimensional KP equation was solved using conjugate complex and long-wave limit methods. In (Mohanty et al, 2023) In this article, the optical solitons of the extended (2+1)dimensional KP equation are investigated using the unified Riccati equation expansion method (UREEM) (Sirendaoreji 2017), (Zayed et al 2020).…”

Section: Introductionmentioning

confidence: 99%

An Investigation for Soliton Solutions of the Extended (2+1)-Dimensional Kadomtsev–Petviashvili Equation

ÇINAR

2024

Afyon Kocatepe University Journal of Sciences and Engineering

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This article presents an investigation for soliton solutions of the extended (2+1)-dimensional Kadomtsev–Petviashvili equation which describes wave behavior in shallow water. We utilize the unified Riccati equation expansion method. By employing the powerful method, many soliton solutions are successfully derived, and it is verified by Wolfram Mathematica that the solutions satisfy the main equation. Additionally, Matlab is utilized to generate plots and examine the properties of the obtained solitons. The results reveal that the considered equation exhibits a wide range of soliton solutions, including dark, bright, singular, and periodic solutions. This comprehensive investigation of soliton solutions for the Kadomtsev–Petviashvili equation holds significant relevance in various fields such as oceanography and nonlinear optics, contributing to practical applications.

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Section: Introductionmentioning

confidence: 99%

An Investigation for Soliton Solutions of the Extended (2+1)-Dimensional Kadomtsev–Petviashvili Equation

ÇINAR

2024

Afyon Kocatepe University Journal of Sciences and Engineering

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Degenerate lump chain solutions and rouge wave solutions of the (4 + 1)-dimensional nonlinear evolution equation

Ma,

Mao,

Deng

2023

Nonlinear Dyn

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A new physically meaningful general nonlocal reverse-space nonlinear Schrödinger equation and its novel Riemann–Hilbert method via temporal-part spectral analysis for deriving soliton solutions

2023

Nonlinear Dyn

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Resonance solutions and hybrid solutions of an extended (2+1)-dimensional Kadomtsev–Petviashvili equation in fluid mechanics

Cited by 7 publications

References 50 publications

An Investigation for Soliton Solutions of the Extended (2+1)-Dimensional Kadomtsev–Petviashvili Equation

An Investigation for Soliton Solutions of the Extended (2+1)-Dimensional Kadomtsev–Petviashvili Equation

Degenerate lump chain solutions and rouge wave solutions of the (4 + 1)-dimensional nonlinear evolution equation

A new physically meaningful general nonlocal reverse-space nonlinear Schrödinger equation and its novel Riemann–Hilbert method via temporal-part spectral analysis for deriving soliton solutions

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