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- W4386478462 abstract "Abstract Periodic solutions of the Zakharov equation are investigated in this paper. Through performing the limit operation $lambda_{2l-1}tolambda_1$ on the eigenvalues of the Lax pair obtained from the $n$-fold Darboux transformation, an order-$n$ breather-positon solution is first obtained from a plane wave seed. It is then proven that an order-$n$ lump solution can be further constructed through taking the limit $lambda_1tolambda_0$ on the breather-positon solution, because the unique eigenvalue $lambda_0$ associated with the Lax pair eigenfunction $Psi(lambda_0)=0$ corresponds to the limit of the infinite-periodic solutions. A convenient procedure of generating higher-order lump solutions of the Zakharov equation is also investigated based on the idea of the degeneration of double eigenvalues in multi-breather solutions." @default.
- W4386478462 created "2023-09-07" @default.
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- W4386478462 date "2023-09-06" @default.
- W4386478462 modified "2023-10-17" @default.
- W4386478462 title "From breather solutions to lump solutions: A construction method for the Zakharov equation" @default.
- W4386478462 doi "https://doi.org/10.1088/1674-1056/acf706" @default.
- W4386478462 hasPublicationYear "2023" @default.
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