Results 41 to 50 of about 7,978,167 (317)
Results in Physics, 2023 In this article, a new dynamical system equation is constructed, named the (3+1)-dimensional Hirota-bilinear-like equation. The new ‘like’ equation has more nonlinear terms than the original equation while they have the same bilinear form.
Wenting Li, Ailing Jiao
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Results in Physics, 2020 This paper studies the dynamics of shallow water waves with the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq (gKP–Boussinesq) equation arising in fluid mechanics.
Gour Chandra Paul +2 more
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Mixed Lump-Stripe Soliton Solutions to a New Extended Jimbo-Miwa Equation
Advances in Mathematical Physics, 2023 In this paper, the localized properties of lump and interaction solutions to a new extended Jimbo-Miwa (EJM) equation are studied. Based on the Hirota bilinear method and the test function method, the exact solutions of the EJM equation are discussed ...
Yinghui He
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Propulsion and Power Research, 2021 The multiple-order line rogue wave solutions method is emp loyed for searching the multiple soliton solutions for the generalized (2 + 1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili (CHKP) equation, which contains first-order, second-order, and third-
Yufeng Qian +5 more
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Lump solutions to nonlinear partial differential equations via Hirota bilinear forms [PDF]
, 2016 Lump solutions are analytical rational function solutions localized in all directions in space. We analyze a class of lump solutions, generated from quadratic functions, to nonlinear partial differential equations.
W. Ma, Yuan Zhou
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Comments on lump solutions in SFT [PDF]
The European Physical Journal C, 2016 We analyze a recently proposed scheme to construct analytic lump solutions in open SFT. We argue that in order for the scheme to be operative and guarantee background independence it must be implemented in the same 2D conformal field theory in which SFT is formulated. We outline and discuss two different possible approaches. Next we reconsider an older
Bonora, Loriano, Tolla, Driba D.
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Results in Physics, 2022 In this paper, the lumps with their interactions (lump-single and lump-double stripes), and breather wave solutions are constructed to the new integrable (2 + 1)-dimensional Boussinesq equation via the Hirota bilinear method.
Md. Nuruzzaman, Dipankar Kumar
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Field theory models for tachyon and gauge field string dynamics [PDF]
, 2000 In hep-th/0008227, the unstable lump solution of \phi^3 theory was shown to have a spectrum governed by the solvable Schroedinger equation with the \ell=3 reflectionless potential and was used as a model for tachyon condensation in string theory. In this
Minahan, Joseph A., Zwiebach, Barton
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Tachyon Condensation and Brane Descent Relations in p-adic String Theory [PDF]
, 2000 It has been conjectured that an extremum of the tachyon potential of a bosonic D-brane represents the vacuum without any D-brane, and that various tachyonic lump solutions represent D-branes of lower dimension.
Ashoke Sen +44 more
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Multiple soliton, M-lump and interaction solutions to the (3+1)-dimensional soliton equation
Results in Physics, 2023 One of the most effective ways to understand nonlinear quantum systems is with lump solutions. The objective of this study is to acquire more about the (3+1)-dimensional soliton equation.
Hajar F. Ismael +4 more
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