Multiple kink solutions and multiple singular kink solutions for two systems of coupled Burgers-type equations
DOI: 10.1016/J.CNSNS.2008.12.018
关键词: Mathematics 、 Burgers' equation 、 Bilinear interpolation 、 Type (model theory) 、 Integrable system 、 Partial differential equation 、 Transformation (function) 、 Mathematical analysis 、 Modelling and Simulation 、 Applied mathematics 、 Numerical analysis
摘要: Abstract Two systems of integrable coupled Burgers-type equations are investigated. The Cole–Hopf transformation combined with the Hirota’s bilinear sense employed for a reliable treatment these two systems. Multiple kink solutions and multiple singular formally derived each system.
elsevier.com
sci-hub.se 参考文章(31)
Jon Nimmo, Claire Gilson, 良吾 広田, 敦 永井, The direct method in soliton theory ,(2004)
Abdul-Majid Wazwaz, Solitons and singular solitons for the Gardner–KP equation Applied Mathematics and Computation. ,vol. 204, pp. 162- 169 ,(2008) , 10.1016/J.AMC.2008.06.011
Ryogo Hirota, Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons Physical Review Letters. ,vol. 27, pp. 1192- 1194 ,(1971) , 10.1103/PHYSREVLETT.27.1192
Abdul-Majid Wazwaz, MULTIPLE-SOLITON SOLUTIONS FOR THE KP EQUATION BY HIROTA’S BILINEAR METHOD AND BY THE TANH–COTH METHOD Applied Mathematics and Computation. ,vol. 190, pp. 633- 640 ,(2007) , 10.1016/J.AMC.2007.01.056
Abdul-Majid Wazwaz, Single and multiple-soliton solutions for the (2+1)-dimensional KdV equation Applied Mathematics and Computation. ,vol. 204, pp. 20- 26 ,(2008) , 10.1016/J.AMC.2008.05.126
Willy Malfliet, Willy Hereman, The tanh method: II. Perturbation technique for conservative systems Physica Scripta. ,vol. 54, pp. 569- 575 ,(1996) , 10.1088/0031-8949/54/6/004
Abdul-Majid Wazwaz, Solitary wave solutions of the generalized shallow water wave (GSWW) equation by Hirota’s method, tanh–coth method and Exp-function method Applied Mathematics and Computation. ,vol. 202, pp. 275- 286 ,(2008) , 10.1016/J.AMC.2008.02.013
Mikhail V. Foursov, On integrable coupled Burgers-type equations Physics Letters A. ,vol. 272, pp. 57- 64 ,(2000) , 10.1016/S0375-9601(00)00380-7
Abdul-Majid Wazwaz, Multiple-front solutions for the Burgers-Kadomtsev-Petviashvili equation Applied Mathematics and Computation. ,vol. 200, pp. 437- 443 ,(2008) , 10.1016/J.AMC.2007.11.032
Abdul-Majid Wazwaz, Regular soliton solutions and singular soliton solutions for the modified Kadomtsev–Petviashvili equations Applied Mathematics and Computation. ,vol. 204, pp. 227- 232 ,(2008) , 10.1016/J.AMC.2008.06.031