Rational wave solutions to a generalized (2+1)-dimensional Hirota bilinear equation
نویسندگان
چکیده
منابع مشابه
The Exact Rational Solutions to a Shallow Water Wave-Like Equation by Generalized Bilinear Method
A Shallow Water Wave-like nonlinear differential equation is considered by using the generalized bilinear equation with the generalized bilinear derivatives 3,x D and 3,t D , which possesses the same bilinear form as the standard shallow water wave bilinear equation. By symbolic computation, four presented classes of rational solutions contain all rational solutions to the resulting Shallow Wat...
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The finite-genus solutions for the Hirota's bilinear difference equation are constructed using the Fay's identities for the θ-functions of compact Riemann surfaces. In the present work I want to consider once more the question of constructing the finite-genus solutions for the famous Hirota's bilinear difference equation (HBDE) [1] which has been solved in [2] using the so-called algebraic-geom...
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Article history: Received 28 January 2011 Received in revised form 28 March 2011 Accepted 22 April 2011 Available online 29 April 2011 Communicated by R. Wu
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Riemann theta functions are used to construct one-periodic and two-periodic wave solutions to a class of (2 + 1)-dimensional Hirota bilinear equations. The 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 arbitr...
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ژورنال
عنوان ژورنال: Mathematical Modelling of Natural Phenomena
سال: 2020
ISSN: 0973-5348,1760-6101
DOI: 10.1051/mmnp/2020018