31 citations · 79 across the 5 of their papers we have counts for
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nlin.SI2023
Elliptic-rogue waves and modulational instability in nonlinear soliton equations
Liming Ling, Xuan Sun
We present elliptic-rogue wave solutions for integrable nonlinear soliton equations in theta functions. Unlike solutions generated on the plane wave background, these solutions dep…
nlin.SI2022★ 21 cited
The multi elliptic-localized solutions and their asymptotic behaviors for the mKdV equation
Liming Ling, Xuan Sun
We mainly construct and analyze the multi elliptic-localized solutions under the background of elliptic function solutions for the focusing modified Korteweg-de Vries (mKdV) equati…
nlin.SI2021★ 27 cited
Stability of elliptic function solutions for the focusing modified KdV equation
Liming Ling, Xuan Sun
We study the spectral and orbital stability of elliptic function solutions for the focusing modified Korteweg-de Vries (mKdV) equation and construct the corresponding breather solu…