Results 71 to 80 of about 1,585,437 (172)
Momentum conserving defects in affine Toda field theories
Type II integrable defects with more than one degree of freedom at the defect are investigated. A condition on the form of the Lagrangian for such defects is found which ensures the existence of a conserved momentum in the presence of the defect.
Rebecca Bristow, Peter Bowcock
doaj +1 more source
Suprathermal Soliton Solutions to Nonlinear Schrödinger Equation
ABSTRACT Maxwell distributions are very difficult to find in the low‐pressure environment far away the Earth atmosphere, permeated by high temperatures, various types of radiation, highly energetic particles, space debris, and subjected to microgravity, presenting crucial challenges for spacecraft design and operations, and affecting astronaut's health.
F. E. M. Silveira +2 more
wiley +1 more source
We point out how the Painlevé analysis of solutions of the generalized x-dependent modified Korteweg-de Vries equation systematically provides the integrability properties of the equation.
K. Porsezian, Porsezian, K.
core +1 more source
Analytic Investigation of a Generalized Variable-Coefficient KdV Equation with External-Force Term
This paper investigates integrable properties of a generalized variable-coefficient Korteweg–de Vries (gvcKdV) equation incorporating dissipation, inhomogeneous media, and an external-force term.
Gongxun Li +4 more
doaj +1 more source
Abstract As our understanding of abiotic factors continues to grow, along with insights into the biological traits of organisms, so too does the sophistication of studies exploring global diversification and spatio‐temporal distribution patterns. The global distribution of coastal Cafius rove beetles, combined with the endemic distribution patterns ...
Kee‐Jeong Ahn, Jeong‐Hun Song
wiley +1 more source
On Differential Equations Derived from the Pseudospherical Surfaces
We construct two metric tensor fields; by means of these metric tensor fields, sinh-Gordon equation and elliptic sinh-Gordon equation are obtained, which describe pseudospherical surfaces of constant negative Riemann curvature scalar σ = −2, σ = −1 ...
Hongwei Yang, Xiangrong Wang, Baoshu Yin
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Nonlocal symmetries of Frobenius sinh-Gordon systems
In this paper, we consider a weakly coupled sinh-Gordon equation which takes values in a commutative Frobenius subalgebra of gl(2,C) $gl(2,\mathbb {C})$.
Huijuan Zhou +3 more
doaj +1 more source
Hodge-Frobenius equations and the Hodge–Bäcklund transformation
Linear and nonlinear Hodge-like systems for 1-forms are studied with an assumption equivalent to complete integrability substituted for the requirement of closure under exterior differentiation.
Antonella Marini +3 more
core +1 more source
From quantum Bäcklund transforms to topological quantum field theory [PDF]
We derive the quantum analogue of a Bäcklund transformation for the quantized Ablowitz–Ladik chain, a space discretization of the nonlinear Schrödinger equation. The quantization of the Ablowitz–Ladik chain leads to the q-boson model.
Korff, Christian
core +1 more source
This paper investigates the (n+1) dimensional integrable extension of the Kadomtsev–Petviashvili (KP) equation. The study focuses on extracting Auto-Bäcklund transformations for the given model using the extended homogeneous balance (HB) method in ...
Nauman Raza +4 more
doaj +1 more source

