Results 61 to 70 of about 6,899 (148)

Ma-Xu quantization rule and exact WKB condition for translationally shape invariant potentials

, 2010
For translationally shape invariant potentials, the exact quantization rule proposed by Ma and Xu is a direct consequence of exactness of the modified WKB quantization condition proved by Barclay.
A. Bérard, Barclay, Barclay, Bhaduri, Bhalla, Bhalla, Bhalla, Brack, Cao, Cherqui, Comtet, Cooper, Dong, Dong, Dong, Dutt, Gendenshtein, Grandati, Gu, Gu, Kasri, Leacock, Leacock, Ma, Ma, Ma, Ou, Qiang, Qiang, Qiang, Qiang, Weissman, Y. Grandati, Zhou   +33 more
core   +1 more source

Enhanced Linear Quadratic Regulator‐Based Strategy for Seamless Transition Between Microgrid Operation Modes

IET Power Electronics, Volume 19, Issue 1, January/December 2026.
This paper presents an LQR‐based strategy for seamless transition between grid‐forming and grid‐following inverters in microgrids. The proposed design integrates the comprehensive control loops of the grid‐forming and grid‐following inverters. A systematic, gradient‐based optimization framework is used for selecting the weighting matrices.
Adel Tatish, Kanchapogu Vaisakh
wiley   +1 more source

Dynamical Optical Structure Solutions of the Time‐Fractional Chen‐Lee‐Liu Equation

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
In this article, we utilize the conformable fractional (CF) derivative to investigate the analytically innovative soliton solutions for the time‐fractional nonlinear perturbed Chen‐Lee‐Liu (CLL) equation in optical fibers. An essential governing equation in nonlinear optics, the perturbed CLL model describes the propagation of ultrashort pulses in ...
Shah Muhammad, Abdul Saboor, Muhammad Shakeel, Hameed Gul Ahmadzai, Ivan Giorgio   +4 more
wiley   +1 more source

Oscillation criteria for a class of nonlinear partial differential equations

Electronic Journal of Differential Equations, 2002
This paper presents sufficient conditions on the function $c(x)$ to ensure that every solution of partial differential equation $$ sum_{i=1}^{n}{partial over partial x_i} Phi_{p}({partial u over partial x_i})+B(x,u)=0, quad Phi_p(u):=|u|^{p-1}mathop{ m ...
Robert Marik
doaj  

Super KP equations and Darboux transformations: another perspective on the Jacobian Super KP hierarchy

, 2000
We generalize to the supersymmetric case the representation of the KP hierarchy as a set of conservation laws for the generating series of the conserved densities. We show that the hierarchy so obtained is isomorphic to the JSKP of Mulase and Rabin.
Alessandro Zampa, Bonora, Casati, Casati, Cesare Reina, Falqui, Gel’fand, Gregorio Falqui, Ibort, Krichever, Kupershmidt, Kupershmidt, LeClair, Magri, Magri, Manin, Mathieu, Mulase, Mulase, Mulase, Rabin, Schwarz, Segal, Takasaki, Ueno, Wilson   +25 more
core   +2 more sources

Constructing Traveling Wave Solutions via a Generalized Expansion Method for Nonlinear Evolution Equations Possessing Variable Coefficients

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
In this article, a highly generalized way of studying nonlinear evolution equations (NLEEs) with time‐dependent variable coefficients is provided. The innovative exact solutions of the Kadomtsev–Petviashvili (KP) equation and the modified Korteweg–de Vries (mKdV) equation with temporal variable coefficients are evaluated by using the extended ...
Abdul Saboor, Xianhua Song, Muhammad Shakeel, Muhammad Qamar Fareed, Baboucarr Ceesay, Kang-Jia Wang   +5 more
wiley   +1 more source

Exploring solitary wave solutions to the simplified modified camassa-holm equation through a couple sophisticated analytical approaches

Results in Physics
The simplified modified Camassa-Holm equation, a developed Korteweg-de Vries equation, is an integrable nonlinear dispersive water wave equation with potential applications in diverse fields such as shallow water waves, liquid drop patterning, water ...
Sujoy Devnath, Shahansha Khan, M. Ali Akbar   +2 more
doaj   +1 more source

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

H_2-Optimal Decentralized Control over Posets: A State-Space Solution for State-Feedback

, 2010
We develop a complete state-space solution to H_2-optimal decentralized control of poset-causal systems with state-feedback. Our solution is based on the exploitation of a key separability property of the problem, that enables an efficient computation of
Parrilo, Pablo A., Shah, Parikshit
core   +1 more source

Exact Soliton Dynamics and Stability Analysis of a Fractional Order Coupled Wu‐Zhang System via a Generalized Riccati−Bernoulli−Bäcklund Approach

Journal of Mathematics, Volume 2026, Issue 1, 2026.
To investigate the fractional coupled Wu‐Zhang system analytically, this paper uses a hybrid generalized Riccati−Bernoulli sub‐ODE scheme and Bäcklund transformation to find the exact kink, antikink, and bright‐kink soliton solutions. The dynamical properties of these solutions are discussed using Hamiltonian formulation, phase‐portrait analysis, and ...
M. Mossa Al-Sawalha, Linda Alzaben, Asıf Yokus   +2 more
wiley   +1 more source