Painlevé integrability and lump solutions for two extended (3+ 1)-and (2+ 1)-dimensional Kadomtsev–Petviashvili equations
AM Wazwaz - Nonlinear Dynamics, 2023 - Springer
The current work introduces two extended (3+ 1)-and (2+ 1)-dimensional Painlevé
integrable Kadomtsev–Petviashvili (KP) equations. The integrability feature of both extended …
integrable Kadomtsev–Petviashvili (KP) equations. The integrability feature of both extended …
New -dimensional Painlevé integrable fifth-order equation with third-order temporal dispersion
AM Wazwaz - Nonlinear Dynamics, 2021 - Springer
This work deals with a new (3+ 1)(3+ 1)-dimensional Painlevé integrable fifth-order equation
characterized by third-order temporal and spatial dispersions. The Painlevé test is carried …
characterized by third-order temporal and spatial dispersions. The Painlevé test is carried …
[HTML][HTML] Physical properties for bidirectional wave solutions to a generalized fifth-order equation with third-order time-dispersion term
M Alquran - Results in Physics, 2021 - Elsevier
Higher-order temporal-dispersion partial differential equations have its capability to visualize
the evolution of steeper-waves for shorter wave-length better than the higher-order KdV …
the evolution of steeper-waves for shorter wave-length better than the higher-order KdV …
Bidirectional solitons and interaction solutions for a new integrable fifth-order nonlinear equation with temporal and spatial dispersion
GQ Xu, AM Wazwaz - Nonlinear Dynamics, 2020 - Springer
A new nonlinear integrable fifth-order equation with temporal and spatial dispersion is
investigated, which can be used to describe shallow water waves moving in both directions …
investigated, which can be used to describe shallow water waves moving in both directions …
Painlevé analysis for a new (3+ 1)-dimensional KP equation: Multiple-soliton and lump solutions
The current work proposes a new (3+ 1)-dimensional Kadomtsev-Petviashvili (KP) equation
((3+ 1)-KPE). We verify the integrability of this equation using the Painlevé analysis (PA) …
((3+ 1)-KPE). We verify the integrability of this equation using the Painlevé analysis (PA) …
How carrier memory enters the Haus master equation of mode-locking
We present a generalization of the Haus master equation in which a dynamical boundary
condition allows to describe complex pulse trains, such as the Q-switched and harmonic …
condition allows to describe complex pulse trains, such as the Q-switched and harmonic …
Chaotic diffusion in delay systems: Giant enhancement by time lag modulation
We consider a typical class of systems with delayed nonlinearity, which we show to exhibit
chaotic diffusion. It is demonstrated that a periodic modulation of the time lag can lead to an …
chaotic diffusion. It is demonstrated that a periodic modulation of the time lag can lead to an …
Jerky active matter: a phase field crystal model with translational and orientational memory
Most field theories for active matter neglect effects of memory and inertia. However, recent
experiments have found inertial delay to be important for the motion of self-propelled …
experiments have found inertial delay to be important for the motion of self-propelled …
Conservative solitons and reversibility in time delayed systems
Time delayed dynamical systems have proven to be a fertile framework for the study of
physical phenomena. In natural sciences, their uses have been limited to the study of …
physical phenomena. In natural sciences, their uses have been limited to the study of …
Dispersive instabilities in passively mode-locked integrated external-cavity surface-emitting lasers
We analyze the dynamics of passively mode-locked integrated external-cavity surface-
emitting lasers (MIXSELs) using a first-principles dynamical model based on delay algebraic …
emitting lasers (MIXSELs) using a first-principles dynamical model based on delay algebraic …