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• W2022355599 abstract "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 arbitrary purely imaginary Riemann matrix. The resulting theory is applied to two nonlinear equations possessing Hirota bilinear forms: u t + u xxy - 3uu y - 3u x v = 0 and u t + u xxxxy - (5u xx v + 10u xy u - 15u 2 v) x = 0 where v x = u y , thereby yielding their one-periodic and two-periodic wave solutions describing one-dimensional propagation of waves." @default.
• W2022355599 created "2016-06-24" @default.
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• W2022355599 date "2009-07-10" @default.
• W2022355599 modified "2023-10-17" @default.
• W2022355599 title "EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS" @default.
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• W2022355599 doi "https://doi.org/10.1142/s0217732309030096" @default.
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