Results 31 to 40 of about 979,047 (186)

Modification to an Auxiliary Function Method for Solving Space-Fractional Stochastic Regularized Long-Wave Equation

Fractal and Fractional
This study aims to explore the effect of spatial-fractional derivatives and the multiplicative standard Wiener process on the solutions of the stochastic fractional regularized long-wave equation (SFRLWE) and contribute to its analysis.
Muneerah Al Nuwairan, Adel Elmandouh
doaj   +1 more source

Exact single traveling wave solutions to generalized (2+1)-dimensional Gardner equation with variable coefficients

Results in Physics, 2019
We firstly apply the trial equation method to generalized (2+1)-dimensional Gardner equation to reduce the nonlinear partial differential equation into ordinary equation.
Yue Kai, Bailin Zheng, Nan Yang, Wenlong Xu   +3 more
doaj   +1 more source

Tumor regression grade combined with lymph node status in esophageal squamous cell carcinoma after neoadjuvant chemoradiotherapy

Cancer Medicine, 2022
Introduction We aimed to elucidate the prognostic value of tumor regression grade (TRG) combined with lymph node status compared with the 8th edition of the ypTNM staging system in patients with advanced esophageal squamous cell cancer (ESCC) after ...
Jae Kwang Yun, Youngwoong Kim, Geun Dong Lee, Sehoon Choi, Yong‐Hee Kim, Dong Kwan Kim, Seung‐Il Park, Hyeong Ryul Kim   +7 more
doaj   +1 more source

Optical soliton solutions and dynamic behavior analysis of generalized nonlinear fractional Tzitzéica-type equation

Results in Physics, 2023
The application of fractional partial differential equations in the area of nonlinear optics has greatly facilitated the development of optical fiber communication.
Kun Zhang, Zhao Li
doaj   +1 more source

The classification of traveling wave solutions and superposition of multi-solutions to Camassa-Holm equation with dispersion

, 2006
Under the traveling wave transformation, Camassa-Holm equation with dispersion is reduced to an integrable ODE whose general solution can be obtained using the trick of one-parameter group.
Alber M S, Camassa R, Guo B L, Johnson R S, Li Y A, Liu C S, Liu C S, Liu C S, Liu Cheng-Shi, Schiff J   +9 more
core   +1 more source

Qualitative analysis and optical solitons of the coupled Biswas–Arshed equation in single mode polarization-preserving birefringence fibers

Results in Physics, 2023
In this article, the topological phase portrait and dynamical behavior of the coupled Biswas–Arshed equation in single mode polarization-preserving birefringence fibers are discussed via qualitative analysis of planar dynamic system.
Kun Zhang, Zhao Li
doaj   +1 more source

Chaotic dynamics and some solutions for the (n + 1)-dimensional modified Zakharov–Kuznetsov equation in plasma physics

Open Physics
In the ongoing work, the (n+1n+1)-dimensional modified Zakharov–Kuznetsov equation is discussed, which characterizes the dispersive and ion acoustic wave propagation in plasma physics.
Zhao Shan, Feng Jun
doaj   +1 more source

The novel stochastic solutions for ion sound and Langmuir waves model in plasma physics

AIMS Mathematics
This paper analyzes and examines the ion sound and Langmuir waves (ISALWs) model with noise term utilizing the powerful extended tanh technique and the complete discrimination system for the polynomial method.
Mohammed Alharthi
doaj   +1 more source

Qualitative Analysis and Traveling Wave Solutions of a (3 + 1)- Dimensional Generalized Nonlinear Konopelchenko-Dubrovsky-Kaup-Kupershmidt System

Fractal and Fractional
This article investigates the qualitative analysis and traveling wave solutions of a (3 + 1)-dimensional generalized nonlinear Konopelchenko-Dubrovsky-Kaup-Kupershmidt system.
Zhao Li, Ejaz Hussain
doaj   +1 more source

Classification of Exact Solutions for Generalized Form of Equation

Abstract and Applied Analysis, 2013
The classification of exact solutions, including solitons and elliptic solutions, to the generalized equation by the complete discrimination system for polynomial method has been obtained.
Hasan Bulut
doaj   +1 more source