N-soliton, Mth-order breather, Hth-order lump, and hybrid solutions of an extended (3+1)-dimensional Kadomtsev-Petviashvili equation
Y Shen, B Tian, CD Cheng, TY Zhou - Nonlinear Dynamics, 2023 - Springer
Investigated in this paper is an extended (3+ 1)-dimensional Kadomtsev-Petviashvili
equation. We determine the N-soliton solutions of that equation via an existing bilinear form …
equation. We determine the N-soliton solutions of that equation via an existing bilinear form …
[HTML][HTML] Shallow ocean soliton and localized waves in extended (2+ 1)-dimensional nonlinear evolution equations
L Akinyemi - Physics Letters A, 2023 - Elsevier
In recent years, the derivation and solution of integrable nonlinear evolution equations
(NLEEs) in one, two, or more dimensions have been the apex in the field of applied …
(NLEEs) in one, two, or more dimensions have been the apex in the field of applied …
Non-singular multi-complexiton wave to a generalized KdV equation
The major goal of the current paper is to conduct a detailed study on a generalized KdV
equation (gKdVE) and its non-singular multi-complexiton wave. More precisely, first the multi …
equation (gKdVE) and its non-singular multi-complexiton wave. More precisely, first the multi …
Analyzing multi-peak and lump solutions of the variable-coefficient Boiti–Leon–Manna–Pempinelli equation: a comparative study of the Lie classical method and …
S Kumar, M Niwas - Nonlinear Dynamics, 2023 - Springer
This research article investigates the (2+ 1)-dimensional variable-coefficient Boiti–Leon–
Manna–Pempinelli equation using the Lie classical method and the unified method. The Lie …
Manna–Pempinelli equation using the Lie classical method and the unified method. The Lie …
Bilinear form and Pfaffian solutions for a (2+ 1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt system in fluid mechanics and plasma …
CD Cheng, B Tian, Y Shen, TY Zhou - Nonlinear Dynamics, 2023 - Springer
Abstract In this paper, a (2+ 1)-dimensional generalized Konopelchenko-Dubrovsky-Kaup-
Kupershmidt system in fluid mechanics and plasma physics is investigated. Bilinear form …
Kupershmidt system in fluid mechanics and plasma physics is investigated. Bilinear form …
Study on extensions of (modified) Korteweg–de Vries equations: Painlevé integrability and multiple soliton solutions in fluid mediums
This work develops two higher-dimensional extensions for both Korteweg–de Vries (KdV)
and modified KdV (mKdV) equations. We investigate the Painlevé integrability of each …
and modified KdV (mKdV) equations. We investigate the Painlevé integrability of each …
A new (n+1)-dimensional generalized Kadomtsev–Petviashvili equation: integrability characteristics and localized solutions
GQ Xu, AM Wazwaz - Nonlinear Dynamics, 2023 - Springer
Searching for higher-dimensional integrable models is one of the most significant and
challenging issues in nonlinear mathematical physics. This paper aims to extend the classic …
challenging issues in nonlinear mathematical physics. This paper aims to extend the classic …
A direct symbolic computation of center-controlled rogue waves to a new Painlevé-integrable (3+ 1)-D generalized nonlinear evolution equation in plasmas
This paper proposes a new integrable generalized (3+ 1)-dimensional nonlinear partial
differential equation. We apply the standard Painlevé test to check the integrability, which …
differential equation. We apply the standard Painlevé test to check the integrability, which …
Multi-peakons, lumps, and other solitons solutions for the (2+ 1)-dimensional generalized Benjamin–Ono equation: An inverse (G′/G)-expansion method and real …
M Niwas, S Kumar - Nonlinear Dynamics, 2023 - Springer
In this study, we apply a new “Inverse (G′/G)-Expansion Method” for extracting novel
soliton solutions in the context of the (2+ 1)-dimensional generalized Benjamin–Ono (gBO) …
soliton solutions in the context of the (2+ 1)-dimensional generalized Benjamin–Ono (gBO) …
Symmetry and complexity: A Lie symmetry approach to bifurcation, chaos, stability and travelling wave solutions of the (3+ 1)-dimensional Kadomtsev-Petviashvili …
This work delves into the investigation of the nonlinear dynamics pertaining to the (3+ 1)-
dimensional Kadomtsev-Petviashvili equation, which describes the propagation of long …
dimensional Kadomtsev-Petviashvili equation, which describes the propagation of long …