Results 21 to 30 of about 3,120 (179)
Soliton solutions by means of Hirota bilinear forms
Partial Differential Equations in Applied Mathematics, 2022 The paper aims to provide a brief overview of soliton solutions obtained through the Hirota direct method. A bilinear formulation of soliton solutions in both (1+1)-dimensions and (2+1)-dimensions is discussed, together with applications to various ...
Wen-Xiu Ma
doaj +1 more source
Novel soliton solutions to a (2+1)-dimensional breaking soliton equation
Partial Differential Equations in Applied Mathematics, 2022 In this paper, a Hirota bilinear form is presented for a (2+1)-dimensional breaking soliton equation. Novel N-soliton solutions are constructed through an application of the Hiorta direct method.
Qi Chen, Xiao-ming Zhu, Jian-bing Zhang
doaj +1 more source
Rapid and Intense Declines of Forest Connectivity in the Amazon Arc of Deforestation Over Four Decades. [PDF]
Glob Chang BiolDeforestation increased landscape fragmentation between 1990 and 2020. Ecological distance thresholds constrain gap crossing, seed dispersal, and pollen dispersal. Functional connectivity declined over time, while landscape modularity increased. ABSTRACT The Amazon Arc of Deforestation is facing a silent decline in ecological functionality.
Favretto MA, Hirota M.
europepmc +2 more sources
Lump and rogue wave solutions to (1+1)-dimensional evolution equations
Partial Differential Equations in Applied Mathematics, 2022 In this paper, we study lump solutions and rogue wave solutions for three (1+1)-dimensional nonlinear dynamic systems. By applying the Hirota direct method, lump and rogue wave solutions are presented with the aid of symbolic computations.
Yuan Zhou
doaj +1 more source
New interaction solutions to the (2+1)-dimensional Hirota–Satsuma–Ito equation
Results in Physics, 2022 This study aims to determine novel analytical lump solutions to the (2+1)-dimensional Hirota–Satsuma–Ito equation through conducting symbolic computations using the Hirota direct method.
Fei Long +4 more
doaj +1 more source
On exploring optical solutions to the Hirota equation through an efficient analytical method
Results in Physics, 2021 In this paper, a direct approach, namely the generalized exponential rational function method is utilized to extract diverse collection of exact solutions to the (2+1)-dimensional Hirota equation.
B. Günay
doaj +1 more source
Single-Soliton Solution of KdV Equation via Hirota’s Direct Method under the Time Scale Framework
Advances in Mathematical Physics, 2022 Hirota’s direct method is one significant way to obtain solutions of soliton equations, but it is rarely studied under the time scale framework. In this paper, the generalized KdV equation on time-space scale is deduced from one newly constructed Lax equation and zero curvature equation by using the AKNS method, which can be reduced to the classical ...
Yuan Kong +6 more
openaire +3 more sources
The (3+1)-dimensional Boussinesq equation: Novel multi-wave solutions
Results in Physics, 2023 The Boussinesq equation is a partial differential equation that describes the behavior of waves in shallow water. In this paper, we address some new dynamical behaviors to the (3+1)-dimensional Boussinesq equation, which are not constructed beforehand ...
Hajar Farhan Ismael
doaj +1 more source
Study on the Nonlinear Dynamics of the (3+1)-Dimensional Jimbo-Miwa Equation in Plasma Physics
Axioms, 2023 The Jimbo-Miwa equation (JME) that describes certain interesting (3+1)-dimensional waves in plasma physics is studied in this work. The Hirota bilinear equation is developed via the Cole-Hopf transform.
Peng Xu +3 more
doaj +1 more source
Open Physics, 2021 This research paper uses a direct algebraic computational scheme to construct the Jacobi elliptic solutions based on the conformal fractional derivatives for nonlinear partial fractional differential equations (NPFDEs). Three vital models in mathematical
Gepreel Khaled A., Mahdy Amr M. S.
doaj +1 more source