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Ma, Zheng-Yi; Fei, Jin-Xi; Chen, Jun-Chao

Lump and stripe soliton solutions to the generalized Nizhnik-Novikov-Veselov equation. (English) Zbl 1451.35048

Commun. Theor. Phys. 70, No. 5, 521-528 (2018).
Summary: With the aid of the truncated Painlevé expansion, a set of rational solutions of the \((2+1)\)-dimensional generalized Nizhnik-Novikov-Veselov (GNNV) equation with the quadratic function which contains one lump soliton is derived. By combining this quadratic function and an exponential function, the fusion and fission phenomena occur between one lump soliton and a stripe soliton which are two kinds of typical local excitations. Furthermore, by adding a corresponding inverse exponential function to the above function, we can derive the solution with interaction between one lump soliton and a pair of stripe solitons. The dynamical behaviors of such local solutions are depicted by choosing some appropriate parameters.

Cited in 3 Documents

MSC:

35C08 Soliton solutions
35Q51 Soliton equations

Keywords:

Nizhnik-Novikov-Veselov equation; quadratic function; rational solution; lump soliton; stripe soliton
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References:

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