Multiple rational rogue waves for higher dimensional nonlinear evolution equations via symbolic computation approach Article Swipe

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Saima Arshed , Nauman Raza , Asma Rashid Butt , Ahmad Javid , J. F. Gómez‐Aguilar ·

YOU? · · 2021 · Open Access · · DOI: https://doi.org/10.1016/j.joes.2021.11.001

The paper investigates the multiple rogue wave solutions associated with the generalized Hirota–Satsuma–Ito (HSI) equation and the newly proposed extended (3 + 1)-dimensional Jimbo–Miwa (JM) equation with the help of a symbolic computation technique. By incorporating a direct variable transformation and utilizing Hirota’s bilinear form, multiple rogue wave structures of different orders are obtained for both generalized HSI and JM equation. The obtained bilinear forms of the proposed equations successfully investigate the 1st, 2nd and 3rd-order rogue waves. The constructed solutions are verified by inserting them into original equations. The computations are assisted with 3D graphs to analyze the propagation dynamics of these rogue waves. Physical properties of these waves are governed by different parameters that are discussed in details.

Related Topics

Rogue Wave

Bilinear Interpolation

Mathematics

Mathematical Analysis

Concepts

Rogue wave Bilinear interpolation Symbolic computation Computation Transformation (genetics) One-dimensional space Mathematics Nonlinear system Bilinear transform Bilinear form Applied mathematics Mathematical analysis Algorithm Computer science Physics Telecommunications Quantum mechanics Bandwidth (computing) Biochemistry Digital filter Chemistry Statistics Gene

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Type: article
Language: en
Landing Page: https://doi.org/10.1016/j.joes.2021.11.001
OA Status: diamond
Cited By: 16
References: 52
Related Works: 10
OpenAlex ID: https://openalex.org/W3216862989

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DOI: https://doi.org/10.1016/j.joes.2021.11.001

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Title: Multiple rational rogue waves for higher dimensional nonlinear evolution equations via symbolic computation approach

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Language: en

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Publication year: 2021

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Publication date: 2021-11-18

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Authors: Saima Arshed, Nauman Raza, Asma Rashid Butt, Ahmad Javid, J. F. Gómez‐Aguilar

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Landing page: https://doi.org/10.1016/j.joes.2021.11.001

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Concepts: Rogue wave, Bilinear interpolation, Symbolic computation, Computation, Transformation (genetics), One-dimensional space, Mathematics, Nonlinear system, Bilinear transform, Bilinear form, Applied mathematics, Mathematical analysis, Algorithm, Computer science, Physics, Telecommunications, Quantum mechanics, Bandwidth (computing), Biochemistry, Digital filter, Chemistry, Statistics, Gene

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Cited by: 16

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Related works (count): 10

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