Interaction solutions between lump and other solitons of two classes of nonlinear evolution equations
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DOI: 10.1007/s11071-017-3462-9
Abstract: Interaction solutions are obtained from (2+1)-dimensional BLMP equation and (3+1)-dimensional nonlinear evolution equation by using a direct method. The interaction solutions of the two equations presented that a lump appear from a soliton wave and… read more here.
Keywords: interaction solutions; nonlinear evolution; side soliton; soliton wave ... See more keywords
Interaction phenomena between a lump and other multi-solitons for the $${\mathbf {(2+1)}}$$(2+1)-dimensional BLMP and Ito equations
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DOI: 10.1007/s11071-018-4548-8
Abstract: In this paper, “new” interaction solutions between a lump solution and other multi-soliton (kinky or stripe) solutions are studied through developing a “new” direct method based on the Hirota bilinear form for the $$(2+1)$$(2+1)-dimensional BLMP… read more here.
Keywords: dimensional blmp; kinky stripe; interaction solutions; interaction phenomena ... See more keywords
Bäcklund Transformations, Nonlocal Symmetries and Soliton–Cnoidal Interaction Solutions of the (2 + 1)-Dimensional Boussinesq Equation
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DOI: 10.1007/s40840-018-0668-z
Abstract: Under investigation in this paper are the nonlocal symmetries and consistent Riccati expansion integrability of the (2 + 1)-dimensional Boussinesq equation, which can be used to describe the propagation of long waves in shallow water. By constructing… read more here.
Keywords: dimensional boussinesq; interaction solutions; boussinesq equation; soliton cnoidal ... See more keywords
Multiwave interaction solutions for a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation
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DOI: 10.1016/j.cjph.2021.03.001
Abstract: Abstract To construct a class of new multiwave interaction solutions for the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation, we calculate different types of interaction solutions among solitons, periodic waves and rational waves using the direct algebraic method… read more here.
Keywords: solutions dimensional; generalized kadomtsev; interaction solutions; kadomtsev petviashvili ... See more keywords
Rogue wave, interaction solutions to the KMM system
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DOI: 10.1016/j.jmmm.2020.166590
Abstract: Abstract In this paper, the consistent tanh expansion (CTE) method and the truncated Painleve analysis are applied to the Kraenkel-Manna-Merle (KMM) system, which describes propagation of short wave in ferromagnets. Two series of analytic solutions… read more here.
Keywords: kmm system; rogue wave; system; interaction solutions ... See more keywords
Bosonization and new interaction solutions for the coupled Korteweg-de Vries system
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DOI: 10.1080/17455030.2018.1489565
Abstract: ABSTRACT The novel coupled Korteweg-de Vries (KdV) system is derived under the condition named anyon-n algebra. The dark parameterization method is applied into the KdV system, thus, we can obtain new coupled integrable system represented… read more here.
Keywords: system; coupled korteweg; new interaction; interaction solutions ... See more keywords
Novel dynamical behaviors of interaction solutions of the (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili model
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DOI: 10.1088/1402-4896/abecf9
Abstract: This article is devoted to determine interactions of lump and various solitary wave solutions of the generalized (3 + 1)-D B-type Kadomtsev-Petviashvili (BKP) model which is frequently arises in fluid dynamics, plasma physics, and feebly… read more here.
Keywords: generalized type; type kadomtsev; kadomtsev petviashvili; wave ... See more keywords
Dynamics of soliton interaction solutions of the Davey-Stewartson I equation.
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DOI: 10.1103/physreve.105.014218
Abstract: In this paper, we first modify the binary Darboux transformation to derive three types of soliton interaction solutions of the Davey-Stewartson I equation, namely the higher-order lumps, the localized rogue wave on a solitonic background,… read more here.
Keywords: solutions davey; background; interaction solutions; solitonic background ... See more keywords
M-lump and interaction solutions of a ($$2+1$$)-dimensional extended shallow water wave equation
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DOI: 10.1140/epjp/s13360-021-01188-3
Abstract: In this paper, a more extended ( $$2+1$$ )-dimensional shallow water wave equation is considered, which is integrable in terms of the Hirota’s bilinear method. With the aid of the bilinear method, the N-soliton solutions… read more here.
Keywords: solutions dimensional; water; water wave; interaction solutions ... See more keywords
Interaction solutions to the (1+1)-dimensional generalized Drinfel’d–Sokolov–Wilson equation
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DOI: 10.1142/s0217984919503299
Abstract: In this paper, abundant interaction solutions for the (1[Formula: see text]+[Formula: see text]1)-dimensional generalized Drinfel’d–Sokolov–Wilson (gDSW) equation are presented. First, two groups of lump-soliton-type interaction solutions are constructed by using a combination of quadratic function… read more here.
Keywords: interaction solutions; see text; formula see; dimensional generalized ... See more keywords
New types of interaction solutions to the (3 + 1)-dimensional generalized Kadomtsev-Petviashvili equation
Sign Up to like & getrecommendations! Published in 2020 at "Modern Physics Letters B"
DOI: 10.1142/s0217984920502371
Abstract: In this paper, with the aid of symbolic computation system Maple, and based on the simplified Hirota method and ansatz technique, we discussed the (3+1)-dimensional generalized Kadomtsev–Petviashvi... read more here.
Keywords: types interaction; new types; interaction solutions; dimensional generalized ... See more keywords