期刊
CHINESE JOURNAL OF PHYSICS
卷 60, 期 -, 页码 48-60出版社
ELSEVIER
DOI: 10.1016/j.cjph.2019.02.032
关键词
(3+1)-dimensional Hirota bilinear equation; Transformed rational function method; Exp(-phi(xi))method; (G '/G) expansion method
Hirota bilinear (HB) equation in its (3 + 1)-dimensional form is considered and analyzed. Travelling wave transformation has been employed to reduce the equation into an ordinary differential equation (ODE). Three distinct methods, the transformed rational function, Exp(-phi(xi)) and (G'/G) expansion methods have been utilized to obtain analytical solutions. The solutions contain different types of wave solutions, N-solitons, kink and periodic wave solutions. Some of the resulting solutions are graphically illustrated.
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