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Therefore, there always exist solitary waves associated with positive potential.
Therefore, there exist solitary waves associated with positive (negative) potential when (AB > 0) ((AB < 0)). Figure 1 shows the variation of the nonlinear coefficient (AB), with (delta _1) and (delta _2) for (u_0=1), (alpha =0.4), (beta _1=0.1), and (beta _2=0.4).
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It is proved that the equation with disturbance also possesses homoclinic orbit, and there exists solitary wave solution of the delayed Camassa Holm equation.
Therefore, there exists solitary waves associated with positive (negative) potential when (B > 0) ((B<0)).
If electromagnetism were the only force in nature, the universe might exist only as single-proton hydrogen atoms keeping solitary company.
Domestic cats have evolved from solitary, asocial predators and whilst they may display social behaviours, they can still exist as solitary survivors.
Small differences can exist between solitary HC patients and consequently also between members of a cohort, but not systematic differences of this magnitude.
Most types of bees other than honeybees — frequently lumped together as "wild bees," although many species exist — are solitary.
One reason for this type of apoptosis to occur is that Integrin signalling ceases to exist in solitary cells.
However, the majority of LTR sequences in S. pombe exist as solitary LTRs, i.e. as single terminal repeat sequences not flanking a retrotransposon.
When dispersal is favored [ 1, 40], sedentary cooperative individuals will benefit from being able to take on a very different phenotype associated with higher mobility and the ability to exist in solitary conditions in order to successfully disperse.
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