Characteristics of the breathers, rogue waves and soliton waves in a (2 + 1)-dimensional generalized Nizhnik–Novikov–Veselov equation
2019 ◽
Vol 33
(03)
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pp. 1950014
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In this work, a (2 + 1)-dimensional generalized Nizhnik–Novikov–Veselov (GNNV) equation, which can be reduced to several integrable equations, is under investigation. By virtue of Bell’s polynomials, an effective and straightforward way is presented to succinctly construct its two bilinear forms. Furthermore, based on the bilinear formalism and the extended homoclinic test, the breather wave solution, rogue-wave solution and solitary-wave solution of the equation are well constructed. The results can be used to enrich the dynamical behavior of the (2 + 1)-dimensional nonlinear wave fields.
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2016 ◽
Vol 30
(13)
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pp. 1650208
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2014 ◽
Vol 69
(8-9)
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pp. 441-445
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2007 ◽
Vol 54
(7-8)
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pp. 1043-1046
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