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Figure 2 A -periodic traveling wave solution with velocity.
Suppose is a -periodic traveling wave solution with velocity By Lemma 4.3 ii), we have.
To see (ii), suppose that is a -periodic traveling wave solution with velocity.
where and with is a -periodic traveling wave solution with velocity and the converse is true.
Let with and with Then is a -periodic traveling wave solution with velocity for the following equation: (2.12).
Suppose Then (6.1) has at least one -periodic traveling wave solution with velocity for arbitrary and satisfying (2.16).
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Hence (4.4) has no -periodic traveling wave solutions with velocity.
Then (4.4) has no -periodic traveling wave solutions with velocity.
(i If is even, then (4.4) has no -periodic traveling wave solutions with velocity.
(iii If is odd, and then (4.4) has no -periodic traveling wave solutions with velocity.
(v If is odd, and then (4.4) has no -periodic traveling wave solutions with velocity.
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