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SOLITON: 作品数：767被引量：855H指数：13; 导出分析报告; 相关领域：理学更多>>; 相关作者：李存标姚素霞马冰清刘希强张琳琳更多>>; 相关机构：北京大学中山大学浙江大学江西师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>

Theory and Properties of Atomic Spacetime: 《Journal of Applied Mathematics and Physics》2024年第6期1967-2006,共40页Sergei Yu. Eremenko; Following A. Einsteins aspirations for an atomic theory, a novel theory of spacetime quantization/atomization based on finite Atomic AString Functions evolving since the 1970s is offered. Atomization Theorems allow re...; 关键词：SPACETIME QUANTUM Atomic Function AString SOLITON Metriant Unified Theory

Numerical Methods for Solving Logarithmic Nonlinear Schrödinger’s Equation: 《Journal of Applied Mathematics and Physics》2022年第12期3635-3648,共14页Anees Al-Harbi Waleed Al-Hamdan Luwai Wazzan; In this study, we will construct numerical techniques for tackling the logarithmic Schrödinger’s nonlinear equation utilizing the explicit scheme and the Crank-Nicolson scheme of the finite difference method. Th...; 关键词：Explicit Scheme Implicit Scheme Exact Solutions Bounded Domain Stability One Soliton Soliton Interaction Gaussons

New Solitary Wave Solutions of the Fisher Equation: 《Journal of Applied Mathematics and Physics》2022年第11期3356-3368,共13页Zidong Yang Hongyan Pan; In this paper, we use Riccati equation to find new solitary wave solutions of Fisher equation, which describes the process of interaction between diffusion and reaction. It is of great importance to comprehend the equ...; 关键词：Nonlinear Evolution Equations Solitary Wave SOLITON Fisher Equation Riccati Equation

Atomic Spacetime Model Based on Atomic AString Functions被引量：1: 《Journal of Applied Mathematics and Physics》2022年第9期2604-2631,共28页Sergei Yurievich Eremenko; A novel model of spacetime and fields atomization based on Atomic Series over finite Atomic AString Functions is offered. Formulated Atomization Theorems allow representing polynomials, analytic functions, and solutio...; 关键词：SPACETIME QUANTUM Atomic Function AString SOLITON Metriant Unified Theory

Tsunami and Hubble Expansion in the Frame of Unified Nonlocal Theory: 《Journal of Applied Mathematics and Physics》2022年第3期779-801,共23页Boris V. Alexeev; Nonlocal physics is applied for investigation of the tsunami wave movement. It is established that tsunami movement and the Hubble effect of the Universe expansion can be considered in the frame of the same mathematic...; 关键词：Nonlocal Physics Tsunami Movement Hubble Effect Transport Processes in Nonlocal Hydrodynamics Soliton Theory

Peregrine Soliton and Akhmediev Breathers in a Chameleon Electrical Transmission Line: 《Journal of Applied Mathematics and Physics》2020年第12期2775-2792,共18页Bedel Giscard Onana Essama Salome Ndjakomo Essiane Frederic Biya-Motto Bibiane Mireille Ndi Nnanga Mohammed Shabat Jacques Atangana; We analyze the particular behavior exhibited by a chaotic waves field containing Peregrine soliton and Akhmediev breathers. This behavior can be assimilated to a tree with “roots of propagation” which propagate rand...; 关键词：Freak Waves Generation Transmission Line Metamaterials Right/Left-Handed Behaviors Tree Structures Collective Coordinates

Collocation Method for Solving the Generalized KdV Equation: 《Journal of Applied Mathematics and Physics》2020年第6期1123-1134,共12页Turabi Geyikli; In this work, we have obtained numerical solutions of the generalized Korteweg-de Vries (GKdV) equation by using septic B-spline collocation finite element method. The suggested numerical algorithm is controlled by ap...; 关键词：Generalized Korteweg-de Vries Equation Finite Element Method COLLOCATION Septic B-Spline SOLITON

Exact Topological Soliton Solutions to the Strongly Perturbed Family of Sine-Gordon Type Equations: 《Journal of Applied Mathematics and Physics》2019年第10期2401-2422,共22页Stephen Johnson Essaid Zerrad Sokratis Makrogiannis Jun Ren; This paper uses the Ansatz method to solve for exact topological soliton solutions to sine-Gordon type equations. Single, double, and triple sine-Gordon and sine-cosine-Gordon equations are investigated along with dis...; 关键词：TOPOLOGICAL SOLITON KINK SOLITON SINE-GORDON Equation Dispersion PERTURBATION

New Soliton Solutions to the Initial Value Problem for the Two-Component Short Pulse Equation被引量：1: 《Journal of Applied Mathematics and Physics》2019年第1期13-22,共10页Yan Luo; We formulate a matrix Riemann-Hilbert problem to the initial value problem for the two-component system proposed by Matsuno. By solving the associated Riemann-Hilbert problem, we can get the soliton solutions of the t...; 关键词：RIEMANN-HILBERT Problem TWO-COMPONENT SHORT Pulse EQUATION SOLITON Solutions

Solitary Wave Solutions and Rational Solutions for Modified Zakharov-Kuznetsov Equation with Initial Value Problem被引量：1: 《Journal of Applied Mathematics and Physics》2018年第5期949-959,共11页Zhongzhou Dong Ling Wang; The modified Zakharov-Kuznetsov equation with the initial value problem is studied numerically by means of homotopy perturbation method. The analytical approximate solutions of the modified Zakharov-Kuznetsov equation...; 关键词：MODIFIED Zakharov-Kuznetsov Equation HOMOTOPY Perturbation Method SOLITON Solution

SOLITON