Results 91 to 100 of about 3,120 (179)

Investigating dispersive optical solitons with the generalized stochastic perturbed Schrödinger–Hirota equation incorporating power-law nonlinearity and multiplicative white noise

This article aims to introduce the generalized stochastic perturbed Schrödinger–Hirota equation, which incorporates multiplicative white noise in the Itô sense.
Arnous, Ahmed H., Hashemi, Mir Sajjad, BAYRAM, Mustafa, Elsherbeny, Ahmed M., ÖZIŞIK, Müslüm, SEÇER, Aydın   +5 more
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A note on loop-soliton solutions of the short-pulse equation

, 2010
It is shown that the N-loop soliton solution to the short-pulse equation may be decomposed exactly into N separate soliton elements by using a Moloney-Hodnett type decomposition.
E.J. Parkes, Parkes, E.J.
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Solitary smooth hump solutions of the Camassa-Holm equation by means of the homotopy analysis method

, 2008
The homotopy analysis method is used to find a family of solitary smooth hump solutions of the Camassa-Holm equation. This approximate solution, which is obtained as a series of exponentials, agrees well with the known exact solution.
Abbasbandy, S., Parkes, E.J.
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A non-commutative semi-discrete Toda equation and its quasi-determinant solutions [PDF]

, 2009
C. X. LI, J. J. C. NIMMO, Li, C.X., Nimmo, J.J.C.   +3 more
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Nonlinear integrable evolution equations and their solution methods. [PDF]

, 1993
by Yu Wai Kuen.Thesis (Ph.D.)--Chinese University of Hong Kong, 1993.Includes bibliographical references (leaves 71-76).Preface --- p.1PART IChapter Chapter 1 --- Inverse Scattering MethodChapter §1 --- Introduction --- p.5Chapter §2 --- Rapidly ...

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Multi-Soliton solutions to a model equation for shallow water waves

, 2010
In Soliton theory, Hirota direct method is most efficient tool for seeking one soliton solutions or multi-soliton solutions of integrable nonlinear partial differential equations.
Qiao, Zhijiang
core  

The direct method in soliton theory

, 2004
Account of method of solving soliton equations by the inventor of the ...
Hirota, Ryogo, Nagai, Atsushi, Nimmo, Jon   +2 more
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Resonance solitons and direct methods in soliton theory [PDF]

, 2009
Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2009Includes bibliographical references (leaves: 79-82)Text in English; Abstract: Turkish and Englishix, 85 leavesThe Long-Short Wave interaction equations with adding quantum potential ...
Duruk, Selin
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Whitham modulation theory and direct methods for nonlinear dispersive waves

, 2016
Diese Dissertation leistet einen Beitrag zur Erforschung von nicht-linearen dispersiven Wellen durch die Nutzung der Whithan-Modulations-Theorie und der direkten Hirota-Methode sowie ihren relevanten Verfahren.
Nguyen, Lu Trong Khiem (M. Sc.)
core  

Exact soliton, lump, and breather solutions of the (3 + 1)-dimensional Jimbo-Miwa equation via the bilinear neural network method. [PDF]

Sci Rep
Hussein HH, Mekawey H, Elsheikh A.
europepmc   +1 more source