Results 61 to 70 of about 23,042 (190)

A polynomial conjecture connected with rogue waves in the KdV equation

Partial Differential Equations in Applied Mathematics, 2021
A polynomial conjecture, associated with rational solutions including rogue wave solutions of the KdV equation, is presented. The conjecture can be used to show that for the bilinear KdV equation, an arbitrary linear combination of two Wronskian ...
Wen-Xiu Ma
doaj   +1 more source

Experimentation, Simulation & Analysis of Partial Shading Effect in Solar Modules

Energy Science &Engineering, Volume 14, Issue 1, Page 4-15, January 2026.
The Master module placed in a non‐shaded and camera view cleaning position, compensates for the loss in power due to partial shading of the slaves, improving the GMP. The enhanced PV voltage across the partially shaded arrangement reduces reverse bias conditions and thermal stress.
Valsala Kamala Devi, Perumpalot Valsaraj, Nhalile Veetil Edavalath Pramod   +2 more
wiley   +1 more source

The simplified Hirota’s method for studying three extended higher-order KdV-type equations

Journal of Ocean Engineering and Science, 2016
In this work we study three extended higher-order KdV-type equations. The Lax-type equation, the Sawada–Kotera-type equation and the CDG-type equation are derived from the extended KdV equation.
Abdul-Majid Wazwaz
doaj   +1 more source

Dispersionless Fermionic KdV

, 1999
We analyze the dispersionless limits of the Kupershmidt equation, the SUSY KdV-B equation and the SUSY KdV equation. We present the Lax description for each of these models and bring out various properties associated with them as well as discuss open ...
Alin Constandache, Arik, Ashok Das, Barcelos-Neto, Becker, Bloch, Brunelli, Brunelli, Brunelli, Brunelli, Brunelli, Brunelli, Cavalcante, Dargis, Das, Dubrovin, Figueroa-O'Farrill, J. Barcelos-Neto, Kodama, Kortweg, Krichever, Kupershmidt, Lebedev, Manin, Mathieu, Mathieu, Olver, Takasaki, Zakharov, Zakharov   +29 more
core   +1 more source

Perceptions of primary and secondary school principals on the support, educational forms and methods of gifted students in Greece

Journal of Research in Special Educational Needs, Volume 26, Issue 1, January 2026.
Abstract Principals' perceptions of the education of gifted students play an important role, as teachers are those who mainly influence gifted students. Since there are no studies concerning principals' views on primary and secondary education in Greece, it is crucial to investigate the factors influencing these students' education.
Eleftherios Dimitros, Dimitra V. Katsarou, Evangelos Mantsos, Anna Bara, Agathi Argyriadi, Alexandros Argyriadis, Theodoros Goupos   +6 more
wiley   +1 more source

Modulational stability of Korteweg-de Vries and Boussinesq wavetrains

International Journal of Mathematics and Mathematical Sciences, 1983
The modulational stability of both the Korteweg-de Vries (KdV) and the Boussinesq wavetrains is investigated using Whitham's variational method. It is shown that both KdV and Boussinesq wavetrains are modulationally stable.
Bhimsen K. Shivamoggi, Lokenath Debnath
doaj   +1 more source

Computing the Solutions of the Combined Korteweg-de Vries Equation by Turing Machines [PDF]

Electronic Proceedings in Theoretical Computer Science, 2010
In this paper, we study the computability of the initial value problem of the Combined KdV equation. It is shown that, for any integer s>2, the nonlinear solution operator which maps an initial condition data to the solution of the Combined KdV ...
Dianchen Lu, Qingyan Wang, Rui Zheng
doaj   +1 more source

Bright and Dark Breathers on an Elliptic Wave in the Defocusing mKdV Equation

Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT Breathers on an elliptic wave background consist of nonlinear superpositions of a soliton and a periodic wave, both traveling with different wave speeds and interacting periodically in the space‐time. For the defocusing modified Korteweg–de Vries equation, the construction of general breathers has been an open problem since the elliptic wave ...
Dmitry E. Pelinovsky, Rudi Weikard
wiley   +1 more source

Travelling wave solutions for fractional Korteweg-de Vries equations via an approximate-analytical method

AIMS Mathematics, 2019
This paper introduces an approximate-analytical method (AAM) for solving nonlinear fractional partial differential equations (NFPDEs) in full general forms.
Hayman Thabet, Subhash Kendre, James Peters   +2 more
doaj   +1 more source

Self-adjointness of a generalized Camassa-Holm equation

, 2011
It is well known that the Camassa-Holm equation possesses numerous remarkable properties characteristic for KdV type equations. In this paper we show that it shares one more property with the KdV equation. Namely, Ibragimov has shown that the KdV and the
Ibragimov, N. H., Khamitova, R., Valenti, A.   +2 more
core   +1 more source