The hirota bilinear method

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August undefined, 2024

WebSep 30, 2024 · In addition, the NLS equation can be solved by Hirota bilinear method 14, inverse scattering method 15, Bäcklund transform method 16, and so on. Subsequently, … WebIt is also worth paying attention to Wazwaz [23] who used Hirota bilinear method to solve the multi-soliton solution of KP equation; Tian et al. [24] used the Hirota bilinear method to solve the ...

[PDF] The Method of Hirota Bilinearization Semantic …

WebJun 1, 2024 · The Hirota method, which is a widely used and robust mathematical tool for finding soliton solutions of nonlinear partial differential equations (PDEs) in a range of domains such as nonlinear dynamics, mathematical physics, oceanography, engineering sciences, and others requires bilinearization of nonlinear PDEs. WebMar 13, 2024 · Hirota bilinear method and multi-soliton interaction of electrostatic waves driven by cubic nonlinearity in pair-ion–electron plasmas Physics of Fluids 35, 033109 … the sanctuary website

Solutions of Non-Integrable Equations by the Hirota Direct …

WebHirota's bilinear method and soliton solutions January 2005 Authors: Jarmo Hietarinta University of Turku Abstract In this lecture we will flrst discuss integrability in general, its … WebApr 14, 2024 · The concept and properties of the Hirota bilinear method are introduced at first. Then the generalized Hirota-Satsuma-Ito equation is converted to the form of bilinear derivative equation by a variable transformation. Then using series expansion, the soliton solution of the generalized Hirota-Satsuma-Ito equation are obtained. the sanctuary waterloo

Some anomalous exact solutions for the four-component coupled …

A novel and efficient method for obtaining Hirota’s bilinear form …

WebThe basis for the involved solution analysis is the Hirota bilinear formulation, and the particular dependence of the equations on independent variables guarantees the existence of one-periodic and two-periodic wave solutions involving an arbitrary purely imaginary Riemann matrix. The resulting theory is applied to two nonlinear equations ... http://library.jkuat.ac.ke/cgi-bin/koha/opac-detail.pl?biblionumber=88745 the sanctuary waynesville ncWebApr 14, 2024 · Marine oil spills have caused severe environmental pollution with long-term toxic effects on marine ecosystems and coastal habitants. Hyperspectral remote sensing is currently used in efforts to respond to oil spills. Spectral unmixing plays a key role in hyperspectral imaging because of its ability to extract accurate fractional abundances of … traditional leather belt brown

"WebMay 16, 2024 · In this paper, we implement the Hirota’s bilinear method to extract diverse wave profiles to the generalized perturbed-KdV equation when the test function approaches are taken into consideration. Several novel solutions such as lump-soliton, lump-periodic, single-stripe soliton, breather waves, and two-wave solutions are obtained to the … " - The hirota bilinear method

The hirota bilinear method

WebThe bilinear, or Hirota's direct, method was invented in the early 1970s as an elementary means of constructing soliton solutions that avoided the use of the heavy machinery of … WebThe bilinear, or Hirota's direct, method was invented in the early 1970s as an elementary means of constructing soliton solutions that avoided the use of the heavy machinery of the inverse scattering transform and was successfully used to construct the multisoliton solutions of many new equations.

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Web2 days ago · Abstract. An integrable time-discretization of the Ito equation is presented. By use of Hirota’s bilinear method, the Bäcklund transformation, Lax pair and soliton … WebApr 26, 2024 · One of the above-mentioned methods, the Hirota bilinear method [2], is based on transforming the model into a bilinear form in terms of the derivative operator defined by Hirota with an appropriate variable change, thus it is aimed to investigate N -soliton solution forms in the bilinear form.

WebWe will then introduce Hirota’s bilinear method, which is particularly useful in constructing multisoliton solutions for integrable nonlinear evolution equations. 1 Why is integrability … WebThe advantage of Hirota’s method over the others is that it is algebraic rather than analytic. The IST method is more powerful (it can handle general initial conditions) and at the same time more complicated. Accordingly, if one just wants to ﬁnd soliton solutions, Hirota’s …

WebAug 14, 1997 · Introduction to the Hirota bilinear method. J. Hietarinta. We give an elementary introduction to Hirota's direct method of constructing multisoliton solutions … WebJan 4, 2024 · The Hirota bilinear transformation method can be used to find the soliton, breather, lump, and rouge wave solutions of the equation. Solitons, breathers, lumps, and rogue waves are four types of nonlinear localized waves, which have some physical applications in nonlinear optics, plasmas, shallow water waves, and Bose–Einstein …

WebJan 1, 2004 · We give an elementary introduction to Hirota’s direct method of constructing multi-soliton solutions to integrable nonlinear evolution equations. We discuss in detail …

WebJan 1, 2007 · We give an elementary introduction to Hirota’s direct method of constructing multisoliton solutions to integrable nonlinear evolution … traditional leather biker jacketWebSep 30, 2024 · In addition, the NLS equation can be solved by Hirota bilinear method 14, inverse scattering method 15, Bäcklund transform method 16, and so on. Subsequently, some researchers used... the sanctuary wedgewood weddingsWebThe Hirota bilinear method in soliton theory provides a powerful approach to finding exact solutions.[4]A kind of lump solutions can be also obtained by means of the Hirota bilinear formuation.Recently,the generalized bilinear operators are proposed by exploring the linear superposition principle.[22]Many new nonlinear systems are constructed ... the sanctuary weddings scottsdaleWebHirota Direct Method Aslı Pekcan Department of Mathematics, Faculty of Sciences Bilkent University, 06800 Ankara, Turkey ... traditional leather club chairsWeb摘要： Based on the Hirota bilinear method and Wronskian technique, two different classes of sufficient conditions consisting of linear partial differential equations system are presented, which guarantee that the Wronskian determinant is a solution to the corresponding Hirota bilinear equation of a (3+1)-dimensional generalized shallow water … the sanctuary weddingsWebMay 4, 2024 · By using the Hirota bilinear method, we first find soliton solutions of the coupled NLS system of equations; then using the reduction formulas, we find the soliton solutions of the standard and nonlocal NLS equations. traditional leather briefcaseWebJan 31, 2015 · The Hirota bilinear method is used to handle the variant Boussinesq equations. Multiple soliton solutions and multiple singular soliton solutions are formally established. It is shown that the Hirota bilinear method may provide us with a straightforward and effective mathematic tool for generating multiple soliton solutions of … traditional leather chair pillow