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Solitary wave solution, breather wave solution and rogue wave solution for a KP-equation
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In this paper, we investigate KP equation by the Hirota bilinear method
and obtain its bilinear form successfully. On the basis of above
bilinear form, a number of explicit solutions including one-solitary
wave solution, two-solitary wave solution and their generalized form
N-solitary wave solution are obtained successfully. Moreover, in view of
the homoclinic breather limit method, we also express breather wave
solutions and rogue wave solutions of KP-equation. Finally, with
mathematical software Maple, we obtained overhead views, perspective
views and wave propagation pattern of solutions in different parameter
areas.
Title: Solitary wave solution, breather wave solution and rogue wave solution for a KP-equation
Description:
In this paper, we investigate KP equation by the Hirota bilinear method
and obtain its bilinear form successfully.
On the basis of above
bilinear form, a number of explicit solutions including one-solitary
wave solution, two-solitary wave solution and their generalized form
N-solitary wave solution are obtained successfully.
Moreover, in view of
the homoclinic breather limit method, we also express breather wave
solutions and rogue wave solutions of KP-equation.
Finally, with
mathematical software Maple, we obtained overhead views, perspective
views and wave propagation pattern of solutions in different parameter
areas.
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