Traveling waves and transverse instability for the fractional Kadomtsev–Petviashvili equation-Reference-Cited by-同舟云学术

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Traveling waves and transverse instability for the fractional Kadomtsev–Petviashvili equation

Published:2022-03-23 Issue:1 Volume:149 Page:95-123
ISSN:0022-2526
Container-title:Studies in Applied Mathematics
language:en
Short-container-title:Stud Appl Math

Author:

Borluk Handan¹,Bruell Gabriele²³,Nilsson Dag⁴

Affiliation:

1. Department of Basic Sciences Ozyegin University Cekmekoy Istanbul Turkey

2. Department of Mathematics Karlsruhe Institute of Technology Karlsruhe Germany

3. Centre for Mathematical Sciences Lund University Lund Sweden

4. Department of Mathematics Saarland University Saarbrücken Germany

Funder

Deutsche Forschungsgemeinschaft

Publisher

Wiley

Subject

Applied Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1111/sapm.12494

Reference47 articles.

1. On the stability of solitary waves in a weakly dispersing medium;Kadomtsev BB;Sov Phys Dokl,1970

2. On the KP I transonic limit of two-dimensional Gross-Pitaevskii travelling waves

3. Concentration compactness and the stability of solitary-wave solutions to nonlocal equations

4. An efficient method to compute solitary wave solutions of fractional Korteweg–de Vries equations

5. The IVP for the dispersion generalized Benjamin–Ono equation in weighted Sobolev spaces

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Soliton and lump and travelling wave solutions of the (3 + 1) dimensional KPB like equation with analysis of chaotic behaviors;Scientific Reports;2024-09-06

2. On the transverse stability of smooth solitary waves in a two-dimensional Camassa–Holm equation;Journal de Mathématiques Pures et Appliquées;2024-08

3. Lump solutions of the fractional Kadomtsev–Petviashvili equation;Fractional Calculus and Applied Analysis;2024-01-10

4. Traveling Waves in Fractional Models;Nonlinear Systems and Complexity;2024

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