Journal ArticleDOI
New extended Kadomtsev–Petviashvili equation: multiple soliton solutions, breather, lump and interaction solutions
TLDR
In this article, a new extended Kadomtsev-Petviashvili (eKP) equation was developed and the Painleve analysis was used to confirm the integrability of the eKP equation.Abstract:
In this paper, we develop a new extended Kadomtsev–Petviashvili (eKP) equation We use the Painleve analysis to confirm the integrability of the eKP equation We derive the bilinear form, multiple soliton solutions and lump solutions via using the Hirota’s direct method Moreover, the soliton, breather and lump interaction solutions for this model are also obtained as well Graphs are drawn to illustrate the abundant dynamical behaviors of the obtained solutionsread more
Citations
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A new (3+1)-dimensional Kadomtsev–Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves
TL;DR: A new (3+1)-dimensional integrable Kadomtsev–Petviashvili equation is developed and its integrability is verified by the Painleve analysis, and the abundant dynamical behaviors for these solutions are discovered.
Journal ArticleDOI
Multi-wave, breather and interaction solutions to (3+1) dimensional Vakhnenko–Parkes equation arising at propagation of high-frequency waves in a relaxing medium
TL;DR: In this article, the exact analytic solutions of the (3 + 1) dimensional Vakhnenko-Parkes equation with various physical properties were constructed with the help of the Hirota bilinear form.
Journal ArticleDOI
A study of multi-soliton solutions, breather, lumps, and their interactions for kadomtsev-petviashvili equation with variable time coeffcient using hirota method
Sachin Kumar,Brij Mohan +1 more
Journal ArticleDOI
Novel bifurcation solitons for an extended Kadomtsev–Petviashvili equation in fluids
TL;DR: In this paper, a class of novel bifurcation phenomena in fluids were reported by studying the soliton solutions of an extended Kadomtsev-Petviashvili equation, which can be used to depict the inelastic collision, fission and fusion dynamical behavior in fluids.
Journal ArticleDOI
Diverse Soliton wave solutions of for the nonlinear potential Kadomtsev–Petviashvili and Calogero–Degasperis equations
Mostafa M. A. Khater,Dianchen Lu +1 more
TL;DR: In this paper , the authors investigated the soliton wave structures of the nonlinear potential Kadomtsev-Petviashvili and Calogero-Degasperis equations by employing the direct algebraic method.
References
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