Equilibrium States with Finite Amplitudes at Exactly and Nearly Class-I Bragg Resonances

<div>Wave steepness <svg height="12.5794pt" id="M280" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 19.7755 12.5794" width="19.7755pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,4.498,0)"><path d="M499 88L487 113C459 86 422 65 413 65C403 65 403 74 409 98L461 318C487 426 460 448 431 448C408 448 383 441 352 424C305 398 223 344 157 257H155L243 674C249 702 249 712 240 712C227 712 170 680 87 673L82 648H117C155 648 162 644 150 590L23 -4L30 -12C55 -4 81 3 105 8C113 53 131 150 143 187C199 281 323 387 372 387C390 387 393 369 380 311L328 86C313 19 319 -12 347 -12C379 -12 442 24 499 88Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,11.141,3.132)"><path d="M357 391C357 416 325 451 270 451C241 451 179 431 146 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Journal of Mathematics

fig4

Figure 4

Figure 4: Equilibrium States with Finite Amplitudes at Exactly and Nearly Class-I Bragg Resonances 