2013
DOI: 10.1016/j.amc.2013.08.085
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Soliton solution to BKP equation in Wronskian form

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Cited by 13 publications
(6 citation statements)
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“…These solutions generate lump and line soliton solutions as special cases, and the technique adopted above provides a supplement to the different combination theories in [31,42,44,56]. It would be interesting to know which of these new solutions can be detected by the Wronskian technique [12,19].…”
Section: Discussionmentioning
confidence: 99%
“…These solutions generate lump and line soliton solutions as special cases, and the technique adopted above provides a supplement to the different combination theories in [31,42,44,56]. It would be interesting to know which of these new solutions can be detected by the Wronskian technique [12,19].…”
Section: Discussionmentioning
confidence: 99%
“…where Λ = ( ) is an arbitrary real constant matrix. Moreover, Remark 2 tells us that an invertible constant linear transformation on Φ in the Wronskian determinant does not change the corresponding Wronskian solution, and thus, we only have to solve (21) under the Jordan form of Λ.…”
Section: Remarkmentioning
confidence: 99%
“…The study of the BKP equation has attracted a considerable size of research work. These equations were studied using the Hirota method, the multiple exp-function algorithm, the Pfaffian technique, Riemann theta functions, the extended homoclinic test approach, and Bäcklund transformation by many authors [17][18][19][20][21][22][23][24][25][26]. In this paper, based on the Wronskian method, the new exact solutions including rational solutions, soliton solutions, positon solutions, negaton solutions, and their interaction solutions of the (3+1)-dimensional generalized BKP equations are investigated.…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, Wazwaz [17] established two sets of distinct kinds of multiple-soliton solutions under specific conditions for equation (1) using the simplified form of the Hirota method. Soliton solutions in Wronskian form of (1) were also presented in [18,19]. Multiple wave solutions and auto-Bäcklund transformation for the (1) were obtained in [20].…”
Section: Introductionmentioning
confidence: 99%
“…e study of different BKP equations has attracted a considerable size of research. Different forms of BKP equations were studied by using the Hirota method, the multiple exp-function algorithm, the Pfaffian technique, the Wronskian technique, and the Bäcklund transformation [15][16][17][18][19][20][21]. In this paper, by means of the Lie symmetry group method, we consider the following (3 + 1)-dimensional generalized BKP equation:…”
Section: Introductionmentioning
confidence: 99%