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 …
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 …
A novel analysis of Cole–Hopf transformations in different dimensions, solitons, and rogue waves for a (2+ 1)-dimensional shallow water wave equation of ion …
This work investigates a (2+ 1)-dimensional shallow water wave equation of ion-acoustic
waves in plasma physics. It comprehensively analyzes Cole–Hopf transformations …
waves in plasma physics. It comprehensively analyzes Cole–Hopf transformations …
Riemann–Hilbert approach and soliton analysis of a novel nonlocal reverse-time nonlinear Schrödinger equation
J Wu - Nonlinear Dynamics, 2024 - Springer
By imposing a nonlocal reverse-time type constraint on a general coupled nonlinear
Schrödinger (NLS) equation, we propose a novel nonlocal reverse-time NLS equation which …
Schrödinger (NLS) equation, we propose a novel nonlocal reverse-time NLS equation which …
A new physically meaningful general nonlocal reverse-space nonlinear Schrödinger equation and its novel Riemann–Hilbert method via temporal-part spectral …
J Wu - Nonlinear Dynamics, 2024 - Springer
By imposing a nonlocal reverse-space symmetry constraint on a general coupled nonlinear
Schrödinger (NLS) equation, we propose a new general nonlocal reverse-space NLS …
Schrödinger (NLS) equation, we propose a new general nonlocal reverse-space NLS …
A new derivation of (2+ 1)-dimensional Schrödinger equation with separated real and imaginary parts of the dependent variable and its solitary wave solutions
N Benoudina, Y Zhang, N Bessaad - Nonlinear Dynamics, 2023 - Springer
In this work, we have derived a new (2+ 1)-dimensional Schrödinger equation that contains
separated real and imaginary parts of the dependent variable as follows iw tx+ iwt-w xx+ w …
separated real and imaginary parts of the dependent variable as follows iw tx+ iwt-w xx+ w …
The (3+ 1)-dimensional Benjamin–Ono equation: Painlevé analysis, rogue waves, breather waves and soliton solutions
In this paper, we analyzed the (3+ 1)-dimensional Benjamin–Ono (BO) equation. We first
demonstrated that the governing model is not integrable in the Painlevé sense. The rogue …
demonstrated that the governing model is not integrable in the Painlevé sense. The rogue …
Versatile excitations of 3D partially nonlocal bright–bright Peregrine-quartets in a nonautonomous vector nonlinear Schrödinger equation under a parabolic potential
YX Chen - Nonlinear Dynamics, 2023 - Springer
This paper aims to study versatile excitations of (3+ 1)-dimensional partially nonlocal bright–
bright Peregrine-quartets in a nonautonomous vector nonlinear Schrödinger equation with …
bright Peregrine-quartets in a nonautonomous vector nonlinear Schrödinger equation with …