Painlevé analysis, auto-Bäcklund transformation and analytic solutions of a (21)-dimensional generalized Burgers system with the variable coefficients in a fluid
TY Zhou, B Tian, YQ Chen, Y Shen - Nonlinear Dynamics, 2022 - Springer
Burgers-type equations are used to describe certain phenomena in gas dynamics, traffic
flow, plasma astrophysics and ocean dynamics. In this paper, a (2+ 1)-dimensional …
flow, plasma astrophysics and ocean dynamics. In this paper, a (2+ 1)-dimensional …
New interesting optical solutions to the quadratic–cubic Schrodinger equation by using the Kudryashov-expansion method and the updated rational sine–cosine …
M Alquran - Optical and Quantum Electronics, 2022 - Springer
The updated rational sine–cosine functions and the Kudryashov-expansion method are
implemented to investigate new optical explicit solitons to the generalized nonlinear …
implemented to investigate new optical explicit solitons to the generalized nonlinear …
[HTML][HTML] New solutions for the generalized resonant nonlinear Schrödinger equation
The resonant nonlinear Schrödinger's equation portrays the wave propagation in fiber
optics. In this work, we get new solutions using two powerful and effective analytical …
optics. In this work, we get new solutions using two powerful and effective analytical …
Dynamics of lump collision phenomena to the (3+ 1)-dimensional nonlinear evolution equation
The lump solutions have been shown to be one of the most effective solutions for nonlinear
evolution problems. The resilient Hirota bilinear method is used to evaluate the integrable …
evolution problems. The resilient Hirota bilinear method is used to evaluate the integrable …
Optical solitons of a high-order nonlinear Schrödinger equation involving nonlinear dispersions and Kerr effect
The main aim of this paper is to conduct a detailed study on a high-order nonlinear
Schrödinger (HONLS) equation involving nonlinear dispersions and the Kerr effect. More …
Schrödinger (HONLS) equation involving nonlinear dispersions and the Kerr effect. More …
[HTML][HTML] Explicit soliton structure formation for the riemann wave equation and a sensitive demonstration
The motive of the study was to explore the nonlinear Riemann wave equation, which
describes the tsunami and tidal waves in the sea and homogeneous and stationary media …
describes the tsunami and tidal waves in the sea and homogeneous and stationary media …
Analysis of lumps, single-stripe, breather-wave, and two-wave solutions to the generalized perturbed-KdV equation by means of Hirota's bilinear method
M Alquran, R Alhami - Nonlinear Dynamics, 2022 - Springer
In this paper, we implement the Hirota's bilinear method to extract diverse wave profiles to
the generalized perturbed-KdV equation when the test function approaches are taken into …
the generalized perturbed-KdV equation when the test function approaches are taken into …
[HTML][HTML] Solitary wave solutions for a strain wave equation in a microstructured solid
In this article, a strain wave equation (SWE) is studied, which is used to model wave
propagation in microstructured materials that earn a noteworthy place in solid-state physics …
propagation in microstructured materials that earn a noteworthy place in solid-state physics …
Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics
The breather wave and lump periodic wave solutions for the (2+ 1)-dimensional Caudrey–
Dodd–Gibbon–Kotera–Sawada system are established in this paper. To achieve such novel …
Dodd–Gibbon–Kotera–Sawada system are established in this paper. To achieve such novel …
[HTML][HTML] A variety of new periodic solutions to the damped (2+ 1)-dimensional Schrodinger equation via the novel modified rational sine–cosine functions and the …
In this work, new interesting types of periodic solutions to the damped (2+ 1)-dimensional
Schrodinger equation are extracted by applying new modifications of both rational sine …
Schrodinger equation are extracted by applying new modifications of both rational sine …