Results 81 to 90 of about 269,887 (159)
, 2011 In this paper, the Exp-function method is generalized to construct N-soliton solutions of the (2+1)-dimensional variable-coefficient Broer–Kaup (vcBK) system.
Hong-Qing Zhang +3 more
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Radio Science, Volume 61, Issue 6, June 2026.Abstract The ionosphere imposes coupled amplitude, phase, and polarization distortions on trans‐ionospheric Global Navigation Satellite System (GNSS) signals, reflecting the structure and dynamics of electron‐density irregularities. Classical weak‐scatter theory provides a mature framework for interpreting amplitude and phase scintillation, but these ...
T. Durgonics, S. S. Beeck
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, 2006 In this paper, we present a family of coupled higher-order nonlinear Schrödinger equation describing the optical soliton pulse propagating in inhomogeneous optical fiber media.
J. Tian, G. Zhou
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Stability of KdV Solitons on the Half‐Line: A Study for Nonhomogeneous Boundary Conditions
Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.ABSTRACT We study the orbital stability and asymptotic stability problems for KdV solitons on the right half‐line for nonhomogeneous boundary conditions in the energy space H1(R+)$H^1(\mathbb {R}^+)$. This paper improves the results of Cavalcante and Muñoz [Revista Matemática Iberoamericana 35, no. 6 (2019); and SIAM Journal on Mathematical Analysis 55,
Luccas Campos +2 more
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The Modified Camassa–Holm Equation on the Half Line: A Riemann–Hilbert Approach
Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.ABSTRACT We consider the initial‐boundary value (IBV) problem for the modified Camassa–Holm (mCH) equation m∼t+(u∼2−u∼x2+2u∼)m∼x=0,m∼:=u∼−u∼xx+1$\tilde{m}_t+{\left((\tilde{u}^2-\tilde{u}_x^2+2\tilde{u})\tilde{m}\right)}_x = 0, \qquad \tilde{m}:=\tilde{u}-\tilde{u}_{xx}+1$ on the half‐line x≥0$x \ge 0$.
Iryna Karpenko, Dmitry Shepelsky
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, 2011 A non-isospectral and variable-coefficient modified Korteweg–de Vries (mKdV) equation is investigated in this paper. Starting from the Ablowitz–Kaup–Newell–Segur procedure, the Lax pair is established and the Bäcklund transformation in original variables
XIANG-HUA MENG +6 more
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Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
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Randers Ricci soliton homogeneous nilmanifolds
, 2021 Let $F$ be a left-invariant Randers metric on a simply connected nilpotent Lie group $N$, induced by a left-invariant Riemannian metric $\hat{\boldsymbol{a}}$ and a vector field $X$ which is $I_{\hat{\boldsymbol{a}}}(M)$-invariant.
Salimi Moghaddam, Hamid Reza
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Randers Ricci soliton homogeneous nilmanifolds
, 2019 Let $F$ be a left invariant Randers metric on a simply connected nilpotent Lie group $N$, induced by a left invariant Riemannian metric ${\hat{\textbf{\textit{a}}}}$ and a vector field $X$ which is $I_{\hat{\textbf{\textit{a}}}}(M)$-invariant.
Moghaddam, Hamid Reza Salimi
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The $N$-soliton formulas for a multi-component modified nonlinear Schrödinger system with nonzero boundary conditions (Workshop on Nonlinear Water Waves) [PDF]
, 2019 The present paper provides the dark N-soliton solution for a multi-component modified nonlinear Schrödinger (NLS) system with plane-wave boundary conditions, as well as the bright-dark Nsoliton solution with mixed zero and plane-wave boundary conditions.
Matsuno, Yoshimasa
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