2 problems
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The dimensional deformation conjecture for sine-Gordon oscillons and breathers
Let the sine-Gordon model be considered in one spatial dimension, where it admits infinitely long-lived breather solutions, and in spatial dimensions , where integrability is…
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The small-deformation breather-profile conjecture for large-amplitude oscillons
Consider the sine-Gordon model with a small deformation parameter , and let … be the sine-Gordon breather. For an initial frequency , set…