2013
DOI: 10.1088/1674-1056/22/10/100507
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Trial function method and exact solutions to the generalized nonlinear Schrödinger equation with time-dependent coefficient

Abstract: Trial function method and exact solutions to the generalized nonlinear Schrödinger equation with time-dependent coefficient * Cao Rui(曹 瑞) a)b) † and Zhang Jian(张 健) a) a)

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Cited by 19 publications
(1 citation statement)
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“…Ma and Lee et al [9] investigated a 3 + 1 dimensional Jimbo-Miwa equation via a transformed rational function method and obtained exact solutions. Other methods, such as Bäcklund transformation [10,11], Darboux transformation [12,13], Hirota bilinear method [14], the inverse scattering transform, the variable separation method [15], the sine-cosine method, the tanh-function method [16], the auxiliary equation method [17], the trial function method [18], etc., were also employed. Based on these methods, a variety of nonlinear equations have been investigated and solved.…”
Section: Introductionmentioning
confidence: 99%
“…Ma and Lee et al [9] investigated a 3 + 1 dimensional Jimbo-Miwa equation via a transformed rational function method and obtained exact solutions. Other methods, such as Bäcklund transformation [10,11], Darboux transformation [12,13], Hirota bilinear method [14], the inverse scattering transform, the variable separation method [15], the sine-cosine method, the tanh-function method [16], the auxiliary equation method [17], the trial function method [18], etc., were also employed. Based on these methods, a variety of nonlinear equations have been investigated and solved.…”
Section: Introductionmentioning
confidence: 99%