A variety of newly formed soliton solutions and patterns of dynamic waveforms for the generalized complex coupled Schrödinger–Boussinesq equations

S Kumar, N Mann - Optical and Quantum Electronics, 2023 - Springer
In this work, we use the generalized Riccati equation mapping method (GREMM) to seek
solitary and periodic wave solutions to the generalized complex coupled Schrödinger …

Exact solutions for new coupled Konno–Oono equation via Sardar subequation method

MI Asjad, M Inc, I Iqbal - Optical and Quantum Electronics, 2022 - Springer
By applying the Sardar subequation method, we study new coupled Konno–Oono (CKO)
equation and obtained soliton type solutions in the form of bright, dark, singular, periodic …

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 …

Some specific optical wave solutions and combined other solitons to the advanced (3+ 1)-dimensional Schrödinger equation in nonlinear optical fibers

S Kumar, I Hamid, MA Abdou - Optical and Quantum Electronics, 2023 - Springer
In this paper, we used the generalized exponential rational function approach to extract a
collection of different optical wave solutions to the highly nonlinear Schrödinger equation in …

Novel soliton solutions to the Atangana Baleanu (AB) fractional for ion sound and Langmuir waves (ISALWs) equations

MM Alanazi, L Ouahid, JS Al Shahrani… - Optical and Quantum …, 2023 - Springer
In this paper, new soliton solutions with Atangana–Baleanu (AB) fractional for ion sound and
Langmuir waves (ISALWs) are presented. An extended sub-equation method (ESEM) is …

Various solutions of the (2+ 1)-dimensional Hirota–Satsuma–Ito equation using the bilinear neural network method

G Zhu, H Wang, Z Mou, Y Lin - Chinese Journal of Physics, 2023 - Elsevier
Abstract The Hirota–Satsuma–Ito equation is a well-known nonlinear partial differential
equation in fluid mechanics. This paper deals with a (2+ 1)-dimensional Hirota–Satsuma–Ito …

Fission and annihilation phenomena of breather/rogue waves and interaction phenomena on nonconstant backgrounds for two KP equations

N Lv, Y Yue, R Zhang, X Yuan, R Wang - Nonlinear Dynamics, 2023 - Springer
In this paper, we investigate various nonlinear phenomena of two Kadomtsev–Petviashvili
(KP) equations. Based on bilinear neural network method, we present the fission and …

Lump, periodic, travelling, semi-analytical solutions and stability analysis for the Ito integro-differential equation arising in shallow water waves

F Badshah, KU Tariq, A Bekir, RN Tufail… - Chaos, Solitons & Fractals, 2024 - Elsevier
Nonlinear evolution equations are typically used to model and analyse the majority of
natural processes. These equations are extremely important for comprehending many …

Abundance of Exact Solutions of a Nonlinear Forced (2+ 1)‐Dimensional Zakharov–Kuznetsov Equation for Rossby Waves

N Renmandula, X Yin - Journal of Mathematics, 2023 - Wiley Online Library
In this paper, an improved tan (φ/2) expansion method is used to solve the exact solution of
the nonlinear forced (2+ 1)‐dimensional Zakharov–Kuznetsov equation. Firstly, we analyse …

New interactions between various soliton solutions, including bell, kink, and multiple soliton profiles, for the (2+ 1)-dimensional nonlinear electrical transmission line …

S Kumar, I Hamid - Optical and Quantum Electronics, 2024 - Springer
In this work, we investigate the (2+ 1)-dimensional nonlinear electrical transmission line
model (NETLM) and propose a modified generalized Riccati equation mapping (mGREM) …