[HTML][HTML] New soliton solutions of the mZK equation and the Gerdjikov-Ivanov equation by employing the double G′/G, 1/G-expansion method

MA Iqbal, D Baleanu, MM Miah, HMS Ali, HM Alshehri… - Results in Physics, 2023 - Elsevier
In the electrical transmission lines, the processing of cable signals distribution, computer
networks, high-speed computer databases and discrete networks can be investigated by the …

[PDF][PDF] Dynamic nature of analytical soliton solutions of the (1+ 1)-dimensional Mikhailov-Novikov-Wang equation using the unified approach

A Kumar, S Kumar - … Journal of Mathematics and Computer in …, 2023 - sciendo.com
In this work, we investigate the dynamical study of the (1+ 1)-dimensional Mikhailov-Novikov-
Wang (MNW) equation via the unified method. This technique is used to obtain the soliton …

On the complex properties to the first equation of the Kadomtsev-Petviashvili hierarchy

S Sivasundaram, A Kumar, RK Singh - International Journal of …, 2024 - sciendo.com
This work studies on the first equation of the Kadomtsev-Petviashvili (KP) hierarchy. The
sine-Gordon expansion method (SGEM) and the rational SGEM (RSGEM) are applied to the …

New closed form solutions of some nonlinear pseudo-parabolic models via a new extended direct algebraic method

A Hussain, H Ali, F Zaman, N Abbas - International Journal of …, 2023 - sciendo.com
Our investigation delves into a specific category of nonlinear pseudo-parabolic partial
differential equations (PDEs) that emerges from physical models. This set of equations …

Newly generated optical wave solutions and dynamical behaviors of the highly nonlinear coupled Davey-Stewartson Fokas system in monomode optical fibers

S Kumar, A Kumar - Optical and Quantum Electronics, 2023 - Springer
In this work, we use two extremely efficient methods, generalized Kudryashov (GK) and
generalized Riccati equation mapping (GREM), to extract various optical wave soliton …

Symbolic computation and Novel solitons, traveling waves and soliton-like solutions for the highly nonlinear (2+ 1)-dimensional Schrödinger equation in the …

I Hamid, S Kumar - Optical and Quantum Electronics, 2023 - Springer
In this work, we proposed a new modified generalized Riccati equation mapping approach
to successfully extract several analytical soliton solutions for the (2+ 1)-dimensional …

Dynamic frameworks of optical soliton solutions and soliton-like formations to Schrödinger–Hirota equation with parabolic law non-linearity using a highly efficient …

S Kumar, I Hamid, MA Abdou - Optical and Quantum Electronics, 2023 - Springer
The behavior of optical soliton solutions in optical fiber theory is described by the
Schrödinger–Hirota equation, a nonlinear partial differential equation with multiple …

Nonlinear self-adjointness, conserved quantities and Lie symmetry of dust size distribution on a shock wave in quantum dusty plasma

H Almusawa, A Jhangeer - … in Nonlinear Science and Numerical Simulation, 2022 - Elsevier
The current exploration explains new traveling wave profiles by the Lie symmetry approach
Here, we derive the (3+ 1)-dimensional Zakharov–Kuznetsov burgers equation for the shock …

Dynamical behaviors and abundant optical soliton solutions of the cold bosonic atoms in a zig-zag optical lattice model using two integral schemes

S Kumar, A Kumar - Mathematics and Computers in Simulation, 2022 - Elsevier
In this present paper, we obtain hyperbolic, exponential, trigonometric function, other soliton
solutions, and their combinations for the cold bosonic atoms in a zig-zag optical lattice …

Analysis of Lie invariance, analytical solutions, conservation laws, and a variety of wave profiles for the (2+ 1)-dimensional Riemann wave model arising from ocean …

S Kumar, SK Dhiman, A Chauhan - The European Physical Journal Plus, 2023 - Springer
Nonlinear phenomena are common in nonlinear sciences and physical engineering, such
as ocean engineering and marine physics, as well as fluid dynamics. Nonlinear partial …