Results 31 to 40 of about 6,221 (189)
This paper investigates the nonautonomous Schrödinger-Hirota equation with power-law nonlinearity via the Unified Method. New nonautonomous optical wave solutions are obtained in polynomial function solutions type.
M.S. Osman +2 more
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Vector shock soliton and the Hirota bilinear method [PDF]
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Pashaev, Oktay, Tanoğlu, Gamze
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In this article, two different methods, namely sub-equation method and residual power series method, have been used to obtain new exact and approximate solutions of the generalized Hirota-Satsuma system of equations, which is a coupled KdV model.
Ali Kurt +6 more
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Non classical interaction aspects to a nonlinear physical model
This study deals the dynamics of waves to the conformable fractional (2+1)-dimensional Nizhnik–Novikov–Veselov (NNV) equations. The (2+1)-dimensional NNV equations are the isotropic Lax integrable extension of the (1+1)-dimensional Korteweg–de Vries ...
Hajar F. Ismael +5 more
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Introduction to the Hirota Bilinear Method [PDF]
We give an elementary introduction to Hirota's direct method of constructing multisoliton solutions to integrable nonlinear evolution equations. We discuss in detail how this works for equations in the Korteweg-de Vries class. We also show how Hirota's method can be used to search for new integrable evolution equations by testing for the existence of 3-
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In this article, the two variable (G′/G,1/G)-expansion method is suggested to investigate new and further general multiple exact wave solutions to the Drinfeld-Sokolov-Satsuma-Hirota (DSSH) equation and the shallow water wave equation which arise in ...
H.M.Shahadat Ali +2 more
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New interaction solutions to the (2+1)-dimensional Hirota–Satsuma–Ito equation
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
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This study reports the exceptional preservation of the Eocene freshwater bivalve Batissa sitakaraensis from Hokkaido, Japan. Multimodal analyses reveal that both the aragonitic shell mineralogy and the delicate organic periostracum retain their original structural and chemical characteristics after millions of years.
Taro Yoshimura +4 more
wiley +1 more source
Nonlocal modified KdV equations and their soliton solutions by Hirota Method [PDF]
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Gurses, Metin, Pekcan, Asli
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Abstract Background Vaccination has been proposed as a potential risk factor for autism spectrum disorder (ASD), contributing to public hesitancy and mistrust toward immunization. Influenza vaccination during pregnancy is considered safe and effective in preventing serious maternal complications and adverse birth outcomes associated with influenza ...
Shahar Neeman +4 more
wiley +1 more source

