Results 11 to 20 of about 697 (208)
Vector Shock Soliton and the Hirota Bilinear Method [PDF]
Chaos, Solitons & Fractals, 2005 The Hirota bilinear method is applied to find an exact shock soliton solution of the system reaction-diffusion equations for n-component vector order parameter, with the reaction part in form of the third order polynomial, determined by three distinct ...
Pashaev, Oktay, Tanoğlu, Gamze
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Hints on the Hirota Bilinear Method
Acta Physica Polonica A, 2007 We discuss four stages of the Hirota bilinear method, for construction of soliton solutions to partial differential equations: the proper substitution to express the equation in the bilinear variables (1), reduction of the excess degrees of freedom (2 ...
Goldstein, P.
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The Method of Hirota Bilinearization
, 2023 Bilinearization of a given nonlinear partial differential equation is very important not only to find soliton solutions but also to obtain other solutions such as the complexitons, positons, negatons, and lump solutions.
Gürses, Metin, Pekcan, Aslı
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Solitons of the resonant nonlinear Schrödinger equation with nontrivial boundary conditions: Hirota bilinear method [PDF]
Theoretical and Mathematical Physics, 2007 We use the Hirota bilinear approach to consider physically relevant soliton solutions of the resonant nonlinear Schrödinger equation with nontrivial boundary conditions, recently proposed for describing uniaxial waves in a cold collisionless plasma.
J.-H. Lee +3 more
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Construction of Nth-order rogue wave solutions for Hirota equation by means of bilinear method
, 2014 In this work, we focus on the construction of Nth-rouge wave solutions for the Hirota equation by utilizing the bilinear method. The formula can be represented in terms of determinants.
Gui Mu, Zhenyun Qin
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Open PhysicsThis study examines the effects of various M-shaped water wave shapes on coastal environments for the modified regularized long-wave equation (MRLWE).
Ceesay Baboucarr +2 more
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Novel complex N-soliton and lump solutions for nonlocal breaking equation
Results in Physics, 2022 The Hirota bilinear method is applied to construct the new dynamics of complex N-soliton solutions for a nonlocal breaking equation. By using the auxiliary traveling wave function, the different-order soliton solutions, bifurcation solutions and lump ...
Shaofu Wang
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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
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Open PhysicsThis study employs the Hirota bilinear transformation method to investigate solitary and soliton solutions resulting from different symmetry wave functions associated with nonlinear atom chain models. These models are complex dynamic systems that have an
Macías Siegfried +5 more
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Open PhysicsThe purpose of this work is to study the physical phenomena of the doubly dispersive model that controls chaotic wave movement in the elastic Murnaghan’s rod.
Ceesay Baboucarr +5 more
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