Results 51 to 60 of about 1,058 (184)
In this work, we are concerned with the ion acoustic quasi-soliton in an electron-positron-ion plasma with superthermal electrons and positrons. By using the reductive perturbation method, the Korteweg-de Vries equation is derived from the governing ...
Wang Jianyong +4 more
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Abstract Melt migration in partially molten rocks is commonly described by porous flow models controlled by the hydro‐mechanical compaction length, which effectively explains melt extraction at mid‐ocean ridges. However, this framework cannot account for the paradoxical accumulation of small melt fractions into rhythmic leucosome–melanosome bands in ...
Qingpei Sun +3 more
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The results of computer simulation N-soliton solutions of the Korteweg – de Vries equation with N = 1, 2, 3, 4 are shown. Using numerical experiment the property of conservation of area under the envelope of soliton solutions of the Korteweg – de Vries ...
Y. F. Novik
doaj
Testing for Sufficient Follow‐Up in Survival Data With a Cure Fraction
ABSTRACT In order to estimate the proportion of “immune” or “cured” subjects who will never experience failure, a sufficiently long follow‐up period is required. Several statistical tests have been proposed in the literature for assessing the assumption of sufficient follow‐up, meaning that the study duration is longer than the support of the survival ...
Tsz Pang Yuen, Eni Musta
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Using the Jacobi elliptic function expansion method, which is improved by the novel use of truncated M-fractional derivatives, we thoroughly analyze the improved modified Korteweg-de Vries problem in this paper.
Aamir Farooq +3 more
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Exact traveling wave solutions to higher order nonlinear equations
The present paper applies the new generalized (G′/G)-expansion method on three non-linear equations including the fifth-order Korteweg-de Vries equation, (3+1)-dimensional Modified KdV-Zakharov-Kuznetsov equation, and (3+1)-dimensional Jimbo-Miwa ...
Md Nur Alam, Xin Li
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The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects
ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
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This paper focuses on a high-order Korteweg–de Vries wave equation. The extended F-expansion method, a modified form of Kudryashov’s auxiliary equation approach, is employed to construct Jacobi elliptic function solutions for this equation.
Jiayi Fu, Weixu Ni, Wenxia Chen
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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
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In this paper, we present a numerical method proficient for solving a system of time–fractional partial differential equations. For this sake, we use spectral collection method based on shifted Chebyshev polynomials in space and finite difference method ...
Basim Albuohimad +2 more
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