Fissionable wave solutions, lump solutions and interactional solutions for the (2 + 1)-dimensional Sawada–Kotera equation

Chen, Ai-Hua; Wang, Fan‐Fan

doi:10.1088/1402-4896/ab0056

Cited by 49 publications

(31 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This constructed M -soliton shown in Fig. 5 is also named M -fissionable wave solution, [38] described the dynamic properties and asymptotic behaviour particularly.…”

Section: Kink M -Soliton Solutionsmentioning

confidence: 88%

Evolution Behaviour of Kink Breathers and Lump-M-Solitons (M → ∞) for the (3+1)-Dimensional Hirota-Satsuma-Ito-Like Equation

Longxing¹

2021

Preprint

View full text Add to dashboard Cite

In this paper, some novel lump solutions and interaction phenomenon between lump and kink M-soliton are investigated. Firstly, we study the evolution and degeneration behaviour of kink breather wave solution with difffferent forms for the (3+1)-dimensional Hirota-Satsuma-Ito-like equation by symbolic computation and Hirota bilinear form. In the process of degeneration of breather waves, some novel lump solutions are derived by the limit method. In addition, M-fifissionable soliton and the interaction phenomenon between lump solutions and kink M-solitons (lump-M-solitons) are investigated, the theorem and corollary about the conditions for the existence of the interaction phenomenon are given and proved further. The lump-M-solitons with difffferent types is studied to illustrate the correctness and availability of the given theorem and corollary, such as lump-cos type, lump-cosh-exponential type, lump cosh-cos-cosh type. Several three-dimensional fifigures are drawn to better depict the nonlinear dynamic behaviours including the oscillation of breather wave, the emergence of lump, the evolution behaviour of fission and fusion of lump-M-solitons and so on.

show abstract

“…This constructed M -soliton shown in Fig. 5 is also named M -fissionable wave solution, [38] described the dynamic properties and asymptotic behaviour particularly.…”

Section: Kink M -Soliton Solutionsmentioning

confidence: 88%

Evolution Behaviour of Kink Breathers and Lump-M-Solitons (M → ∞) for the (3+1)-Dimensional Hirota-Satsuma-Ito-Like Equation

Longxing¹

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…to construct the interaction solutions between a lump and (N − 2)-fissionable wave of the (2+1)-dimensional Sawada-Kotera equation [52]. Li et al established a more general relation among the parameters of the N -soliton solutions to obtain the resonance Y -type solitons of some (2+1)-dimensional integrable systems [32,33].…”

Section: N -Soliton Solutionsmentioning

confidence: 99%

Resonance Y-type soliton, hybrid and quasi-periodic wave solutions of a generalized (2+1)-dimensional nonlinear wave equation

Zhang

Zhao

2021

Preprint

View full text Add to dashboard Cite

In this paper, we consider a generalized (2+1)-dimensional nonlinear wave equation. Based on the bilinear, the N-soliton solutions are obtained. The resonance Y-type soliton and the interaction solutions between M-resonance Y-type solitons and P-resonance Y-type solitons are constructed by adding some new constraints to the parameters of the N-soliton solutions. The new type of two-opening resonance Y-type soliton solutions are presented by choosing some appropriate parameters in 3-soliton solutions. The hybrid solutions consisting of resonance Y-type solitons, breathers and lumps are investigated. The trajectories of the lump waves before and after the collision with the Y-type solitons are analyzed from the perspective of mathematical mechanism. Furthermore, the multi-dimensional Riemann-theta function is employed to investigate the quasi-periodic wave solutions. The one-periodic and two-periodic wave solutions are obtained. The asymptotic properties are systematically analyzed, which establish the relations between the quasi-periodic wave solutions and the soliton solutions. The results may be helpful to provide some effective information to analyze the dynamical behaviors of solitons, fluid mechanics, shallow water waves and optical solitons.

show abstract

“…In this paper, we present some generalizations and interactional properties between two periodic solitons for the (2 + 1)-dimensional vc-CDGKS Equation (1.1). The interactional properties will be analyzed based on the ideas in [17] [18], where the analysis was performed for constant-coefficient equations.…”

Section: A T a Tmentioning

confidence: 99%

Periodic Solitary Wave Solutions of the (2 + 1)-Dimensional Variable-Coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada Equation

Zhou¹

2020

OJAppS

View full text Add to dashboard Cite

show abstract

Fissionable wave solutions, lump solutions and interactional solutions for the (2 + 1)-dimensional Sawada–Kotera equation

Cited by 49 publications

References 42 publications

Evolution Behaviour of Kink Breathers and Lump-M-Solitons (M → ∞) for the (3+1)-Dimensional Hirota-Satsuma-Ito-Like Equation

Evolution Behaviour of Kink Breathers and Lump-M-Solitons (M → ∞) for the (3+1)-Dimensional Hirota-Satsuma-Ito-Like Equation

Resonance Y-type soliton, hybrid and quasi-periodic wave solutions of a generalized (2+1)-dimensional nonlinear wave equation

Periodic Solitary Wave Solutions of the (2 + 1)-Dimensional Variable-Coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada Equation

Contact Info

Product

Resources

About