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

Name: Traveling waves and transverse instability for the fractional Kadomtsev–Petviashvili equation
Author: Borluk, Handan, Bruell, G., Nilsson, D.

İsim	Traveling waves and transverse instability for the fractional Kadomtsev–Petviashvili equation
Yazar	Borluk, Handan, Bruell, G., Nilsson, D.
Basım Tarihi:	2022-07
Basım Yeri	- Wiley
Konu	Dimension-breaking bifurcation, Exponential time differencing, Fractional Kadomtsev–Petviashvili equation, Petviashvili iteration, Solitary waves, Transverse instability
Tür	Süreli Yayın
Dil	İngilizce
Dijital	Evet
Yazma	Hayır
Kütüphane:	Özyeğin Üniversitesi
Demirbaş Numarası	0022-2526
Kayıt Numarası	f5d831cc-5b09-4246-9a74-ff3672e62f62
Lokasyon	Natural and Mathematical Sciences
Tarih	2022-07
Notlar	Deutsche Forschungsgemeinschaft
Örnek Metin	Of concern are traveling wave solutions for the fractional Kadomtsev–Petviashvili (fKP) equation. The existence of periodically modulated solitary wave solutions is proved by dimension-breaking bifurcation. Moreover, the line solitary wave solutions and their transverse (in)stability are discussed. Analogous to the classical Kadmomtsev–Petviashvili (KP) equation, the fKP equation comes in two versions: fKP-I and fKP-II. We show that the line solitary waves of fKP-I equation are transversely linearly instable. We also perform numerical experiments to observe the (in)stability dynamics of line solitary waves for both fKP-I and fKP-II equations.
DOI	10.1111/sapm.12494
Cilt	149

Kaynağa git Özyeğin Üniversitesi

Aramaya Dön

Özyeğin Üniversitesi

Kaynağa git

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

Yazar Borluk, Handan, Bruell, G., Nilsson, D.

Basım Tarihi 2022-07

Basım Yeri - Wiley

Konu Dimension-breaking bifurcation, Exponential time differencing, Fractional Kadomtsev–Petviashvili equation, Petviashvili iteration, Solitary waves, Transverse instability

Tür Süreli Yayın

Dil İngilizce

Dijital Evet

Yazma Hayır

Kütüphane Özyeğin Üniversitesi

Demirbaş Numarası 0022-2526

Kayıt Numarası f5d831cc-5b09-4246-9a74-ff3672e62f62

Lokasyon Natural and Mathematical Sciences

Tarih 2022-07

Notlar Deutsche Forschungsgemeinschaft

Örnek Metin Of concern are traveling wave solutions for the fractional Kadomtsev–Petviashvili (fKP) equation. The existence of periodically modulated solitary wave solutions is proved by dimension-breaking bifurcation. Moreover, the line solitary wave solutions and their transverse (in)stability are discussed. Analogous to the classical Kadmomtsev–Petviashvili (KP) equation, the fKP equation comes in two versions: fKP-I and fKP-II. We show that the line solitary waves of fKP-I equation are transversely linearly instable. We also perform numerical experiments to observe the (in)stability dynamics of line solitary waves for both fKP-I and fKP-II equations.

DOI 10.1111/sapm.12494

Cilt 149