Results 161 to 170 of about 2,746 (252)

Dynamical behavior of analytic solutions of the generalized derivative nonlinear Schrödinger equation under stochastic perturbations in fiber communication systems. [PDF]

Sci Rep
Murad MAS, Abdullah AR, Mustafa MA, Hussain E.   +3 more
europepmc   +1 more source

Power Series Solutions of Nonlinear Partial Differential Equations: Applications in Nonlinear Physics

, 2018
Obtaining analytical solutions for nonlinear partial differential equations (PDEs) is becoming a crucial role for many scientific researchers due to their importance in various physical systems.
Al Sakkaf, Laila Yahya Mohammed
core  

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9696-9708, June 2026.
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source

Dynamical analysis and exact solitary wave solutions of [Formula: see text]-dimensional integro-differential Jaulent-Miodek equation using two analytical schemes. [PDF]

Sci Rep
Nasir B, Abbas M, Yousaf MZ, Nazir T, El-Rahman MA, Birhanu A.   +5 more
europepmc   +1 more source

Unsteady Solution of Non-Linear Differential Equations Using Walsh Function Series

, 2015
Walsh functions form an orthonormal basis set consisting of square waves. The discontinuous nature of square waves make the system well suited for representing functions with discontinuities.
Gnoffo, Peter A.
core  

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9814-9831, June 2026.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Fast automated adjoints for spectral PDE solvers. [PDF]

Proc Natl Acad Sci U S A
Skene CS, Burns KJ.
europepmc   +1 more source

Theranostic Advancements in Brain Cancer: Promising Approaches for Emerging Therapy

MedComm – Oncology, Volume 5, Issue 2, June 2026.
Strategies for improving intra‐arterial administration (A) and photodynamic therapy in brain cancer (B). Improving intra‐arterial (IA) administration and photodynamic therapy (PDT) for brain cancer involves enhancing tumor targeting and breaching the blood–brain barrier (BBB). Key strategies include super selective catheterization, using osmotic agents
Bipraban Khanra, Manoj Kumar Sarangi
wiley   +1 more source

A new hybrid block collocation method for solving elliptic PDEs. [PDF]

Sci Rep
Rufai MA, Filippone S, Ramos H, Modanese G.   +3 more
europepmc   +1 more source

On the summability of divergent power series solutions for certain first-order linear PDES

Tyt. z nagłówka.Bibliogr. s. 623-624.This article is concerned with the study of the Borel summability of divergent power series solutions for certain singular first-order linear partial differential equations of nilpotent type.
Hibino, Masaki.
core