Results 81 to 90 of about 132,714,206 (184)

Nonlinear Dynamics of the Nonlinear Schrödinger Equation via an Improved Modified Extended Tanh‐Function Algorithm

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This work investigated optical soliton solutions to the perturbed Schrödinger–Hirota equation with a generalized cubic–quintic–septic nonlinearity law involving spatiotemporal dispersion. Our study employs an improved modified extended tanh‐function method to obtain a comprehensive set of 18 soliton solutions, including bright, dark, singular, periodic,
Saja Faeq Noaman, Huda Jawad, Noor A. Abdulhmeed, Saja Saeed Abed, Shikha Binwal   +4 more
wiley   +1 more source

Equivalence group for generalized Kudryashov-Sinelshchikov equations of second order [PDF]

, 2020
Orientador: Yuri Dimitrov BozhkovTese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação CientíficaResumo: Nesta tese calculamos o grupo de equivalência contínuo para a equação generalizada de Kudryashov ...
Londoño Duque, Oscar Mario, 1979-
core  

Exploring Advanced Soliton Solutions for the Stochastic Nonlinear System With Temporal Fractionality: Multiplicative Noise Intensity, Modulation Instability, and Chaotic Nature

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This study investigates the stochastic fractional new coupled Konno–Oono equation with external forced multiplicative noise, focusing on the chaotic nature, the influence of multiplicative noise intensity, and the fractionality parameter on exact soliton solutions. The proposed model is used to describe the complex phenomena in the magnetic field.
Md. Mamunur Roshid, Ramy M. Hafez, Mahtab Uddin, Yakup Yildirim, Golam Mostafa, Zuo Da-Wei   +5 more
wiley   +1 more source

White noise theory and general improved Kudryashov method for stochastic nonlinear evolution equations with conformable derivatives [PDF]

Advances in Difference Equations, 2020
AbstractThe aim of this work is to investigate the Wick-type stochastic nonlinear evolution equations with conformable derivatives. The general Kudryashov method is improved by a new auxiliary equation. So, a new technique, which we call “the general improved Kudryashov method (GIKM)”, is introduced to produce exact solutions for the nonlinear ...
openaire   +3 more sources

Dynamics of Computational Solitons: Modulation Instability, Bifurcation, Chaotic Nature With Different Chaos‐Detecting Tools, and Influence of Multiplicative Noise Intensity

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study presents the dynamic analysis of stochastic fractional unstable nonlinear Schrödinger equation (SFuNLSE), focusing on the analysis of bifurcation, chaotic nature, return map, recurrence plots, strange attractor, basin attractor, power spectrum, chaotic nature and also finds the exact optical soliton solution with multiplicative noise ...
Md. Mamunur Roshid, Mohamed Abdalla, M. S. Osman, Smritijit Sen   +3 more
wiley   +1 more source

Soliton solutions of nonlinear (2 + 1)-dimensional Biswas-Milovic equation via new approach of generalized Kudryashov scheme

, 2022
This paper deals with the (2+1)-dimensional Biswas-Milovic equation (BME) for soliton propagation in optical fiber utilizing the new approach of the generalized Kudryashov method.
Özışık, Müslüm
core   +1 more source

On Exploration of Soliton Solutions for the Higher Dimensional Dissipative Zabolotskaya–Khokhlov Equation by Using Modified Extended Direct Algebraic Neural Networking

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This work develops a new computational algorithm. The modified extended direct algebraic neural network method (MEDANNM) is a synergistic combination of algebraic geometry and deep learning to find soliton solutions. The higher‐dimensional dissipative Zabolotskaya–Khokhlov equation is a paradigm model for studying nonlinear wave propagation.
Hafiz Muhammad Hamid Raza, Naveed Shahid, Nauman Ahmed, Muhammad Qasim, Baboucarr Ceesay, Muhammad Zafarullah Baber, Smritijit Sen   +6 more
wiley   +1 more source

Analytical and Numerical Investigations of the Kudryashov Generalized KdV Equation [PDF]

, 2018
This thesis concerns an analytical and numerical study of the Kudryashov Generalized Korteweg-de Vries (KG KdV) equation. Using a refined perturbation expansion of the Fermi-Pasta-Ulam (FPU) equations of motion, the KG KdV equation, which arises at sixth
Hilton, William
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Exact solutions of the Kudryashov–Sinelshchikov equation and nonlinear telegraph equation via the first integral method [PDF]

, 2012
In this article we find the exact traveling wave solutions of the Kudryashov–Sinelshchikov equation and nonlinear telegraph equation by using the first integral method. This method is based on the theory of commutative algebra.
Mirzazadeh, Mohammad, Eslami, Mostafa
core   +1 more source

Dynamical behavior of solitons of the perturbed nonlinear Schrödinger equation and microtubules through the generalized Kudryashov scheme

, 2022
The perturbed nonlinear Schrödinger (NLS) equation and the nonlinear radial dislocations model in microtubules (MTs) are the underlying frameworks to simulate the dynamic features of solitons in optical fibers and the functional aspects of microtubule ...
Abdul-Majid Wazwaz, Hemonta Kumar Barman, W. Mahmoud, Forhad Mahmud, Ripan Roy, Dumitru Baleanu, Mohammed A. Al Sharif, M. Ali Akbar, M.S. Osman   +8 more
core   +1 more source