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作者:K. Konno , K. Kakuhata
来源:[J].Theoretical and Mathematical Physics(IF 0.669), 2003, Vol.137 (2), pp.1527-1533Springer
摘要:Abstract(#br)The integrable equation of motion of the loop soliton interacting with an external field is considered from the standpoint of stretching and/or shrinking of the loop. To study the role of the elastic force and the nonlinear forces, the basic equation is divided into ...
作者:Yoshimasa Matsuno
来源:[J].Physics Letters A(IF 1.766), 2006, Vol.359 (5), pp.451-457Elsevier
摘要:... Taking an appropriate scaling limit of the N -soliton solution of the CH equation, we obtain the N -cusp soliton solution for the CH short-wave model. The similar procedure also leads to the N -loop soliton solution for the DP short-wave model. We describe the property o...
作者:Shigeki Matsutani
来源:[J].Electronic Journal of Differential Equations(IF 0.426), 2007, Vol.2007 (91), pp.1DOAJ
摘要:This article is devoted to an investigation of a reality condition of a hyperelliptic loop soliton of higher genus. In the investigation, we have a natural extension of Jacobi am-function for an elliptic curves to that for a hyperelliptic curve. We also compute winding numbers of...
作者:Shigeki Matsutani
来源:[J].Electronic Journal of Differential Equations(IF 0.426), 2007, Vol.2007 (91), pp.1-12DOAJ
摘要:This article is devoted to an investigation of a reality condition of a hyperelliptic loop soliton of higher genus. In the investigation, we have a natural extension of Jacobi am-function for an elliptic curves to that for a hyperelliptic curve. We also compute winding numbers of...
作者:Yao Long , Zhenyang Li , Weiguo Rui
来源:[J].Applied Mathematics and Computation(IF 1.349), 2009, Vol.217 (4), pp.1315-1320Elsevier
摘要:... Loop soliton solution and periodic loop soliton solution, solitary wave solution and solitary cusp wave solution, smooth periodic wave solution and non-smooth periodic wave solution of this equation are obtained, their dynamic characters are discussed. Some solutions have...
作者:H. Kakuhata , K. Konno
来源:[J].Theoretical and Mathematical Physics(IF 0.669), 2002, Vol.133 (3), pp.1675-1683Springer
摘要:Abstract(#br)We investigate soliton solutions of the coupled dispersionless equations that describe a current-fed string interacting with an external magnetic field in three-dimensional Euclidean space with bilinear equations. We obtain a new type of loop soliton solutions that r...
作者:Minzhi Wei , Xianbo Sun , Shengqiang Tang
来源:[J].Journal of Differential Equations(IF 1.48), 2015, Vol.259 (2), pp.628-641Elsevier
摘要:... Our procedure shows that the CH-KP(2,1) equation either has the regular peakon soliton, cuspon soliton and smooth soliton solutions when sitting on the non-zero constant pedestal lim x → ± ∞ ⁡ u = A ≠ 0 , or possesses compacton solutions only when lim x → ...
作者:Minzhi Wei , Shengqiang Tang , Hualiang Fu ...
来源:[J].Applied Mathematics and Computation(IF 1.349), 2013, Vol.219 (17), pp.8979-8990Elsevier
摘要:... Our procedure shows that the KP–MEW (2, 2) equation either has the regular peakon soliton, cuspon soliton and smooth soliton solutions when sitting on the non-zero constant pedestal lim ξ → ± ∞ q ( ξ ) = A ...
作者:Weiguo Rui , Bin He , Yao Long ...
来源:[J].Nonlinear Analysis(IF 1.64), 2007, Vol.69 (4), pp.1256-1267Elsevier
摘要:... By using these integral bifurcations, many travelling wave solutions such as loop soliton solutions, solitary wave solutions, cusp soliton solutions and periodic wave solutions are obtained. In particular, under the conditions c 1 < 0 , c 2 = c 3 = 1 , a very peculiar periodi...
作者:Bin He
来源:[J].Nonlinear Analysis: Real World Applications(IF 2.201), 2008, Vol.11 (1), pp.364-371Elsevier
摘要:Abstract(#br)In this paper, a partial differential equation is investigated by using the bifurcation theory and the method of phase portraits analysis, the existence of loop soliton, peakon, generalized compacton, smooth and non-smooth periodic waves, breaking kink and anti-kink ...

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