Results 31 to 40 of about 82 (82)

Boussinesq’s equation for water waves: the soliton resolution conjecture for Sector IV

Advanced Nonlinear Studies
We consider the Boussinesq equation on the line for a broad class of Schwartz initial data relevant for water waves. In a recent work, we identified ten main sectors describing the asymptotic behavior of the solution, and for each of these sectors we ...
Charlier Christophe, Lenells Jonatan
doaj   +1 more source

Effects of integrated programs for substance‐involved mothers on infant and child development outcomes: A systematic review and meta‐analysis

Infant Mental Health Journal: Infancy and Early Childhood, Volume 46, Issue 6, Page 653-674, November 2025.
Abstract Maternal substance use is a pressing public health issue that confers risk for maternal health, the parent‐infant relationship, and child development. Integrated interventions that jointly address maternal substance use and child development have shown promise for enhancing child outcomes.
Sophie Barriault, Mary Motz, Lamia Firasta, Hannah McDowell, Patrick R. Labelle, Nancy Poole, Nicole Racine   +6 more
wiley   +1 more source

Extraction of soliton solutions and Painlevé test for fractional Peyrard-Bishop DNA model

Demonstratio Mathematica
The Peyrard-Bishop DNA model is investigated in this study. Two most reliable and efficient analytical techniques, the Jacobi elliptic function method, and the tanh\tanh -coth\coth method, are being employed for finding new and novel soliton solutions ...
Akram Ghazala, Arshed Saima, Sadaf Maasoomah, De la Sen Manuel, Abbas Muhammad, Hamed Yasser Salah   +5 more
doaj   +1 more source

Exact solutions for the ion sound Langmuir wave model by using two novel analytical methods

Results in Physics, 2020
In the present paper, the system of equations for the ion sound and Langmuir waves (SEISLWs) is considered to obtain the new solitary wave solutions of the non-linear evolution equations. Here, we used the relatively two new analytical methods to achieve
A. Tripathy, S. Sahoo
doaj   +1 more source

Some electrostatic structures of the mKP equation for a nonthermal plasma system by a unified solver technique

Journal of Taibah University for Science, 2023
The reductive perturbation technique is used to obtain the Modified KP equation at critical densities distinguished by the MKPE in plasma ion pair with fast electron positron. The new structures reveal that super-solitary and period waveforms are derived
H. G. Abdelwahed
doaj   +1 more source

Existence and properties of soliton solution for the quasilinear Schrödinger system

Open Mathematics
In this article, we consider the following quasilinear Schrödinger system: −εΔu+u+k2ε[Δ∣u∣2]u=2αα+β∣u∣α−2u∣v∣β,x∈RN,−εΔv+v+k2ε[Δ∣v∣2]v=2βα+β∣u∣α∣v∣β−2v,x∈RN,\left\{\begin{array}{ll}-\varepsilon \Delta u+u+\frac{k}{2}\varepsilon \left[\Delta \hspace{-0 ...
Zhang Xue, Zhang Jing
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On new computational and numerical solutions of the modified Zakharov–Kuznetsov equation arising in electrical engineering

Alexandria Engineering Journal, 2020
In this research, analytical and numerical solutions are studied of a two–dimensional discrete electrical lattice, which is mathematically represented by the modified Zakharov–Kuznetsov equation.
Choonkil Park, Mostafa M.A. Khater, Abdel-Haleem Abdel-Aty, Raghda A.M. Attia, Dianchen Lu   +4 more
doaj   +1 more source

Traveling synchronized asymmetric two-waves in the propagation of the KdV and mKdV equations incorporating time-space dispersion terms

Partial Differential Equations in Applied Mathematics
Joseph and Egri revised the standard Korteweg-de Vries equation by replacing its third-order space dispersion term by space-time dispersions aiming to adjust the wave speed and preserve frequency stability. The aim of the current study is twofold. First,
Marwan Alquran, Imad Jaradat
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Unveiling pure-quartic solitons for the generalized nonlinear Schrödinger equation with Kerr nonlinearity using the modified extended direct algebraic method

Nonlinear Engineering
Pure-quartic solitons have recently gained increasing interest due to their unique dispersion landscape, where pulse evolution is governed solely by fourth-order dispersion.
Elsonbaty Nivan M., Ahmed Hamdy M., Badra Niveen M., Zayet Mohamed Mamdouh, Rabie Wafaa B.   +4 more
doaj   +1 more source

Chaotic and quasi-periodic dynamics in nonlinear micro-strain wave systems: Exact symbolic solutions and symmetry-based analysis

Results in Engineering
This work presents a systematic theoretical and computational investigation of the micro-strain wave (MSW) model, a fundamental nonlinear evolution equation governing propagation phenomena in media with microscale deformation effects.
Mostafa M.A. Khater
doaj   +1 more source