Complexiton solutions to the Korteweg–de Vries equation

By Wenxiu Ma. 2002

338 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b74aa632ef14ff04f4d48744d18d4ac31d045a31

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The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Yuncheng You
2. Jingsong He
3. Wenxiu Ma

In Statistical and Nonlinear Physics

1. Wenxiu Ma
2. Jingsong He
3. Chunxia Li
4. Yuncheng You
5. Jin-Yun Yang
6. Ma Wen-Xiu
7. Yufeng Zhang
8. Yuan Zhou

Citations in the corpus

• A refined invariant subspace method and applications to evolution equations (2012, neutral): “ones. The invariant subspace method is also called a generalized separation of variables for nonlinear differential equations by Svirshchevskii [19], presenting a kind of complexiton-like solutions 13 [2, 25]. It is interesting to see that the linear superposition principle takes on key role in const”
• Rational solutions of the Toda lattice equation in Casoratian form (2004, background): “Moreover, the determinant technique can lead to a novel class of exact solutions, called complexitons, to the KdV equation and the Toda lattice equation [15,16].”
• The inverse scattering transform and soliton solutions of a combined modified Korteweg–de Vries equation (2019, background): “We remark that it would be interesting to present other kinds of exact solutions to integrable equations, including position and complexiton solutions [25,35], lump solutions [34,39,50], and algebro-geometric so-”
• A second Wronskian formulation of the Boussinesq equation (2009, background): “More generally, a novel kind of solutions called compelxiton solutions has been introduced and generated using such techniques for soliton equations [11,4] and soliton equations with sources [12].”
• Riemann–Hilbert problems andN-soliton solutions for a coupled mKdV system (2018, background): “How about other solutions such as positon solutions and complexiton solutions [25,26]? About systems of coupled mKdV equations, there are other studies such as integrable couplings [27], super hierarchies [28] and fractional counterparts [29].”
• Solving the (3 + 1)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm (2012, neutral): “, [17]-[26]),”
• Application of the Riemann–Hilbert approach to the multicomponent AKNS integrable hierarchies (2019, background): “We also remark that it would be interesting to find other kinds of exact solutions to integrable equations, including positon and complexiton solutions [56,57], lump solutions [58–61], and algebro-geometric solutions [16,17,62,63], based on Riemann–Hilbert problems.”
• Complexiton solutions of the Toda lattice equation (2004, neutral): “Ik, 02.90.+p MSC: 37K10, 35Q58 ∗Email: mawx@math.usf.edu †Email: maruno@math.kyushu-u.ac.jp”