Rogue waves excitation on zero-background in the (2+ 1)-dimensional KdV equation
JF Zhang, M Jin, M Zhang - arXiv preprint arXiv:2405.11228, 2024 - arxiv.org
JF Zhang, M Jin, M Zhang
arXiv preprint arXiv:2405.11228, 2024•arxiv.orgAn analytical method for constructing various coherent localized solutions with short-lived
characteristics is proposed based on a novel self-mapping transformation of the (2+ 1)
dimensional KdV equation. The highlight of this method is that it allows one to generate a
class of basic two--dimensional rogue waves excited on zero-background for this equation,
which includes the line-soliton-induced rogue wave and dromion-induced rogue wave with
exponentially decaying as well as the lump-induced rogue wave with algebraically decaying …
characteristics is proposed based on a novel self-mapping transformation of the (2+ 1)
dimensional KdV equation. The highlight of this method is that it allows one to generate a
class of basic two--dimensional rogue waves excited on zero-background for this equation,
which includes the line-soliton-induced rogue wave and dromion-induced rogue wave with
exponentially decaying as well as the lump-induced rogue wave with algebraically decaying …
An analytical method for constructing various coherent localized solutions with short-lived characteristics is proposed based on a novel self-mapping transformation of the (2+1) dimensional KdV equation. The highlight of this method is that it allows one to generate a class of basic two--dimensional rogue waves excited on zero-background for this equation, which includes the line-soliton-induced rogue wave and dromion-induced rogue wave with exponentially decaying as well as the lump-induced rogue wave with algebraically decaying in the -plane. Our finding provides a proper candidate to describe two-dimensional rogue waves and paves a feasible path for studying rogue waves.
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