Articles with "hirota satsuma" as a keyword



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Localized wave solutions and interactions of the (2+1)-dimensional Hirota–Satsuma–Ito equation

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Published in 2024 at "Chinese Physics B"

DOI: 10.1088/1674-1056/ad1f4c

Abstract: This paper studies the (2+1)-dimensional Hirota–Satsuma–Ito equation. Based on an associated Hirota bilinear form, lump-type solution, two types of interaction solutions, and breather wave solution of the (2+1)-dimensional Hirota–Satsuma–Ito equation are obtained, which are all… read more here.

Keywords: equation; satsuma ito; hirota satsuma; dimensional hirota ... See more keywords

Localized interaction solution and its dynamics of the extended Hirota–Satsuma–Ito equation

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Published in 2021 at "Modern Physics Letters B"

DOI: 10.1142/s0217984921503139

Abstract: In this research, we will introduce and study the localized interaction solutions and th eir dynamics of the extended Hirota–Satsuma–Ito equation (HSIe), which plays a key role in studying certain ... read more here.

Keywords: extended hirota; localized interaction; satsuma ito; dynamics extended ... See more keywords

Abundant new interaction solutions and nonlinear dynamics for the (3+1)-dimensional Hirota–Satsuma–Ito-like equation

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Published in 2025 at "Open Physics"

DOI: 10.1515/phys-2024-0114

Abstract: Abstract In this article, the (3+1)-dimensional Hirota–Satsuma–Ito-like equation is investigated by the modified direct method, from which some interaction solutions among lump, stripe solitons, and Jacobi elliptic function wave solutions are obtained, which are crucial… read more here.

Keywords: satsuma ito; interaction solutions; like equation; hirota satsuma ... See more keywords

A Comparative Study of the Fractional Coupled Burgers and Hirota-Satsuma KdV Equations via Analytical Techniques

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Published in 2022 at "Symmetry"

DOI: 10.3390/sym14071364

Abstract: This paper applies modified analytical methods to the fractional-order analysis of one and two-dimensional nonlinear systems of coupled Burgers and Hirota–Satsuma KdV equations. The Atangana–Baleanu fractional derivative operator and the Elzaki transform will be used… read more here.

Keywords: kdv equations; hirota satsuma; burgers hirota; satsuma kdv ... See more keywords