Lump-type solutions to nonlinear differential equations derived from generalized bilinear equations
By Wenxiu Ma, Yuan Zhou, Rachael Dougherty. 2016
195 citations recorded by the source corpus.
Subfields: Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/9bec35e432225714131c17c50540ebf3bfef917a
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In Geometry and Topology
In Statistical and Nonlinear Physics
Citations in the corpus
- Riemann–Hilbert problems andN-soliton solutions for a coupled mKdV system (2018, background): “It should be interesting to study exact solutions to soliton equations, particularly rational solutions [36,37] and algebro-geometric solutions [38,39], using other solution techniques.”
- Abundant lumps and their interaction solutions of (3+1)-dimensional linear PDEs (2018, background): “Integrable equations determined in terms of generalized bilinear derivatives [38,39] will have different interaction solutions, including lump-periodic, lump–kink and lump–soliton solutions, but lump solutions derived from quadratic functions remain the same as in the Hirota derivative case (see [42”
- 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-”
- Interaction solutions to Hirota-Satsuma-Ito equation in (2 + 1)-dimensions (2019, background): “, [37] for Hirota bilinear equations and [38] for generalized bilinear equations).”