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Soliton solutions of Burgers equations and perturbed Burgers equation

Applied Mathematics and Computation, 2010
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Anwar Ja'afar Mohamad Jawad, Marko D. Petkovic, Anjan Biswas   +2 more
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A New Approach to Noncommutative Soliton Equations

Journal of the Physical Society of Japan, 2003
Summary: A geometric description is introduced to consistently define initial and/or boundary value problem, zero curvature representation and monodromy operator for noncommutative (nc, for short) soliton equations. Based on the description, it is shown that many known commutative/noncommutative soliton equations can be obtained in a unified way.
Wang, Ning, Wadati, Miki
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The exploding solitons of the sine–Gordon equation

Applied Mathematics Letters
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Shuzhi Liu, Deqin Qiu
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Soliton resolution for the Ostrovsky–Vakhnenko equation

Physica D: Nonlinear Phenomena
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Ma, Ruihong, Fan, Engui
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Discrete Painlevé equations from nonisospectral soliton equations

2000
Blank
Quispel, Gilles., Levi, D.
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Soliton and Algebraic Equation

Journal of the Physical Society of Japan, 1982
The close relationship between the soliton and the algebraic equation is found in the case of the Benjamin-Ono equation. Many interesting formulas are presented concerning the algebra of the zeros of the Laguerre polynomial.
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Soliton Solution of Good Boussinesq Equation

Vietnam Journal of Mathematics, 2015
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Soliton solutions of the shifted nonlocal NLS and MKdV equations

Physics Letters, Section A: General, Atomic and Solid State Physics, 2022
Metin Gürses, Asli Pekcan
exaly  

Two new types of nonlocal Boussinesq equations in water waves: Bright and dark soliton solutions

Chinese Journal of Physics, 2022
Liu-Qing Li, Abdul Majid Wazwaz, Yu-Lan
exaly  

The Classical Soliton Equations

2003
Abstract An exciting development in nonlinear science during the 1970s was the gradual realization that certain nonlinear partial differential equations display a variety of exact solutions. These include not only solitary waves-known since the nineteenth century studies of Russell, Bazin, and Boussinesq—but solutions involving an ...
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