Results 11 to 20 of about 11,033,514 (203)
Vector shock soliton and the Hirota bilinear method [PDF]
Chaos, Solitons & Fractals, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pashaev, Oktay, Tanoğlu, Gamze
core +5 more sources
The Method of Hirota Bilinearization [PDF]
, 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. In this work we study the bilinearization of nonlinear partial differential equations in $(2+1)$-dimensions.
Gürses, Metin, Pekcan, Aslı
core +4 more sources
Hints on the Hirota Bilinear Method [PDF]
Acta Physica Polonica A, 2007 We discuss four stages of the Hirota bilinear method, for construction of soliton solutions to partial difierential equations: the proper substitution to express the equation in the bilinear variables (1), reduction of the excess degrees of freedom (2), the perturbation scheme (3), and solution of the system of equations at the successive orders of ...
Goldstein, P.
openaire +2 more sources
Solitons of the resonant nonlinear Schrödinger equation with nontrivial boundary conditions: Hirota bilinear method [PDF]
Theoretical and Mathematical Physics, 2007 15 pages, 1 figure, talk presented in Workshop `Nonlinear Physics IV: Theory and Experiment`, 22-30 June 2006, Gallipoli ...
Lee, Jyh Hao, Pashaev, Oktay
openaire +5 more sources
Construction of Nth-order rogue wave solutions for Hirota equation by means of bilinear method
, 2014 10 pages, 2 ...
Mu, Gui, Qin, Zhenyun
openaire +3 more sources
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
doaj +2 more sources
Construction of Higher-Order Smooth Positons and Breather Positons via Hirota's Bilinear Method [PDF]
Nonlinear Dynamics, 2021 Abstract Based on the Hirota's bilinear method, a more classic limit technique is perfected to obtain second-order smooth positons. Immediately afterwards, we propose an extremely ingenious limit approach in which higher-order smooth positons and breather positons can be quickly derived from N-soliton solution.
Zhao Zhang +3 more
openaire +1 more source
A novel Hirota bilinear approach to $N=2$ supersymmetric equations [PDF]
, 2023 This article presents a novel application of the Hirota bilinear formalism to the $N=2$ supersymmetric KdV and Burgers equations. This new approach avoids splitting N=2 equations into two $N=1$ equations.
Delisle, Laurent
core +1 more source
Robust filtering for bilinear uncertain stochastic discrete-time systems [PDF]
, 2002 Copyright [2002] IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Brunel University's products or services.
Qiao, H, Wang, Z
core +6 more sources