Evidence map›Paper›PMID 39477980›Full record

ArticleScientific reports2024

Exploring N-soliton solutions, multiple rogue wave and the linear superposition principle to the generalized hirota satsuma-ito equation.

Yun Guo, Yang Chen, Jalil Manafian, Somaye Malmir, K H Mahmoud, A Sa Alsubaie

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Article in Scientific reports, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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Authors and funding

6 authors.

Yun GuoSchool of Public Teaching and Practice, Wuhan Technical College of Communications, Wuhan, Hubei, 430065, China.
Yang ChenSchool of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China.
Jalil ManafianDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran. j_manafianheris@tabrizu.ac.ir.
Somaye MalmirDepartment of Physics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran.
K H MahmoudDepartment of Physics, College of Khurma University College, Taif University, Taif, 21944, Saudi Arabia.
A Sa AlsubaieDepartment of Physics, College of Khurma University College, Taif University, Taif, 21944, Saudi Arabia.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

In this work, numerous rogue wave solution strategy (MRWSS) agreeing to the Hirota bilinear hypothesis is utilized. The said strategy to build different soliton wave solutions for the generalized Hirota-Satsuma-Ito (GHSI) condition is considered. These numerous soliton wave solutions incorporate first-order, second-order, third-order, and fourth-order waves solutions and so on, which are all depending on the starting theory of chosen capacities. For the lump solution with one most extreme or least esteem, the properties of the Hessian lattice are examined. Besides, the arrangements are contained the lump-two kink arrangements, cross-kink wave arrangements, periodic wave arrangements, and periodic-kink wave arrangements. The various classes of arrangements are gotten. We make utilize of the direct superposition procedure to find out N-soliton wave arrangements to the said condition. The appropriateness and viability of the obtained arrangements is detailed through the reenactment comes about within the shape of 3-D, density, and 2-D charts. The gotten comes about in this work are anticipated to open modern viewpoints for the traveling wave theory.

Indexed as

Generalized Hirota-Satsuma-Ito equationLinear superposition principleLump-two kink, Cross-kinkNumerous rogue wave solutionNumerous soliton solutions

Identifiers

PMID39477980
PMCPMC11525820

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